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Question:

What is the mean proportional between 64 and 4096?

Explanation:

Let mean proportion be x.

∴ $\frac{64}{\mathrm{x}}$ = $\frac{\mathrm{x}}{4096}$

⇒ x² = 64 × 4096

⇒ x = 8 × 64 = 512

Hence, option (b).