The Britons showed they have the firepower to pose a challenge to reigning champions the United States, who face 2012 champions Canada in the second semi-final later.
Just four points separated the sides at half-time of the semi-final at a full and boisterous Bercy Arena but Germany's challenge started to unravel early in the third quarter as they let the shot clock wind down twice.
Warburton, 27, turned the second half into a shooting masterclass that the Germans just could not control.
Overall he shot 63 per cent from the field and Lee Manning added 14 points as Team GB pulled away.
The second-half dominance allowed Britain's coaches to bring on their bench players and keep their starters fresh for Saturday's final as the Germans, for whom Thomas Boehme top-scored with 11 points, were reduced to seeking consolation baskets.
