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Answer:
The three numbers are 4, 6 and 8
Step-by-step explanation:
Let the numbers be a , b , c
a * b = 24 ⇒ a = 24/b
b * c = 48 ⇒ b = 48/c
c * a = 32 ⇒ a = 32/c
24/b = 32/c
24 c = 32 b
3 c = 4 b
3 c = 4 * 48/c
c² = 4 * 16
c = 2 * 4 = 8
∴a = 32/c = 32/8 = 4
∴b = 48/c = 48/8 = 6
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