In the given figure, \( A D \) is the median and \( E \) is any point on \( A C \), such that \(...

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In the given figure, \( A D \) is the median and \( E \) is any point on \( A C \), such that \( \operatorname{ar}(\triangle A D E): \operatorname{ar}(\triangle A B D)=2: 3 \), then find the ratio of \( \operatorname{ar}(\triangle E D C): \operatorname{ar}(\triangle A B C) \).
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