Roanic, the 13th seed, required strapping to his right thigh in the first set and had treatment later in the match, but Isner deserved this victory.
This time, however, Isner came out on the losing end, falling 7-6 (6), 6-7 (5), 6-7 (9), 6-4, 26-24 in six hours, 35 minutes on Centre Court.
As the fifth set dragged on and on, the American Isner appeared more visibly exhausted and had to survive more scares on his own serve than Anderson.
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Anderson, who also won a marathon game against Roger Federer in the quarter-final, will face the either Novak Djokovic and Rafael Nadal in Sunday's final, both of whom sat in the locker room for the duration of the first final.
He then converted his first match point when Isner sent a shot wide - after 6 hours, 36 minutes.
The players split the first four sets, three of them by tiebreaks.
While the match was tense, it was far from compelling, with both power players simply blasting serves past one another and trading service in the final set.
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But moments before publication of this post, Anderson broke Isner's serve to take a 25-24 lead, and bring this match close to a merciful conclusion.
Neither Isner nor Anderson had won a Grand Slam title nor, prior to this week, advanced beyond Wimbledon's fourth round despite a decade of trying. The two went back and forth all the way to 12-all, essentially playing a full sixth and seventh set.
That service hold - helped by a 129 miles per hour (207.6km/h) second serve - took the American to 100 service games unbroken at this Wimbledon.
Nadal, 32, is back in the semi-finals at Wimbledon for the first time since 2011 when he finished runner-up to Djokovic.
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