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a/b = b/c
Por dato:
a + c = 15 (+)
a - c = 9 ↓
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2a = 24
a = 12 → c = 15 - 12
c = 3
Luego, la media proporcional (b) será:
12/b = b/3
36 = b² → b = 6
Saludos.