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Question

Find the mean proportion of xy² and xz²

WBBSE Class X Mathematics Ratio And Proportion 02 Mark 2025

Answer

Mean proportion of two numbers a and b is given by:

\sqrt{a × b}

Substituting a = xy² and b = xz², we get:

\sqrt{(xy²) \times (xz²)}

= \sqrt{x² y² z²}

= xyz

Thus, the mean proportion is xyz.

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