In the following figure, \( A D \) is a median of \( \triangle A B C \) and \( E \) is the mid-p...

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In the following figure, \( A D \) is a median of \( \triangle A B C \) and \( E \) is the mid-point of \( A D \). Also, \( B E \) produced meets \( A C \) at \( F \). Prove that \( A F=\frac{1}{3} A C \).
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