Ostapenko lost only one more game as she progressed to a second consecutive Wimbledon quarterfinal.
Waiting to take her on will be a certain Serena Williams - a player who knows what it takes to succeed at Wimbledon having already triumphed at the All England Club seven times.
Ostapenko, the 2017 French Open champion who's previous best at the All England Club was the quarter-finals past year, remained on course to land her second Grand Slam title thanks to a relatively comfortable win on No 1 Court.
Goerges also battled back from a set down to beat Dutchwoman Kiki Bertens 3-6 7-5 6-1 in the last of the women's quarter-finals.
Rebounding from her shock first-round elimination in her Roland Garros title defence, Ostapenko has marched through the draw without dropping a set.
I am fighting and it helps me gain more confidence with it.
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"It is a great feeling to be in the final and playing on the Centre Court is always a great experience and I am really excited", she told the BBC.
There was no let-up from Ostapenko throughout the 82-minute contest as she struck the ball with such ferocity that Cibulkova might have wanted to take cover as she watched 33 crisp winners fly off Ostapenko's racket, to her six.
Two-time Grand Slam champion Kerber remained solid amid an onslaught of winners and unforced errors from the more aggressive Ostapenko. "But whatever happens it's a great moment for me and incredible motivation to keep going for the rest of my career", Serena added.
The statement was stark: the tournament notes ahead of the women's quarter-finals said: "For the first time in Wimbledon history, no woman among the top 10 seeds has reached the quarter-finals".
"I played her a couple times, she has a very powerful game". But I'm going to prepare well for it, going to be probably long rallies. "I'm just pleased with my game today".
Ostapenko is the first Latvian woman to reach a Wimbledon semifinal as the former French Open champion beat Dominika Cibulkova 7-5, 6-4. By the time she flubbed a backhand while falling behind 5-1 in the second, she dropped her racket and screamed.
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Williams, who missed Wimbledon past year due to her pregnancy, won the grass-court Grand Slam on her previous two visits in 2015 and 2016.
Ostapenko came out on the offensive, converting her sixth break point to take an early lead, but she was immediately pegged back by the Slovak who broke to love before securing the first hold of the match.
Serena will go into her 30th Grand Slam final - her first since winning the 2017 Australian Open - holding a 6-2 lead in her head to head record against Kerber.
"It's my point", Cibulkova said, ignoring the fact she had stopped before Hseih's shot legally landed in.
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