The sixth-seeded American won the last three games of the final set to beat Kazakhstani wild card Yaroslava Shvedova 6-1, 2-6, 7-5, in cool and gusty conditions on Court 2.
Williams hopped in joy with both feet in the air after hitting a big forehand that forced an error by Shvedova on the first match point, ending a hard-hitting contest that lasted nearly two hours.
Next up for Williams is the winner of the fourth-round match between defending champion Petra Kvitova and former French Open champion Francesca Schiavone.
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