The diagram depicts a wire with diameter $D$ and length $L$, held securely at one end between two pieces of wood. A load is then placed on the wire, making it lengthen by an amount $x$. When the same load is applied to a wire made of the same material but with diameter $2D$ and length $3L$, by what amount will it lengthen?
- A$\frac{2}{3}x$
- B$\frac{3}{4}x$
- C$\frac{4}{3}x$
- D$\frac{3}{2}x$