Secants $PAB$ and $PCD$ are drawn from an external point $P$ to a circle. If $PA = 4\text{ cm}$, $AB = 5\text{ cm}$, and $PC = 3\text{ cm}$, find the length of $PD$.
Options:
- A: 12 cm
- B: 10 cm
- C: 9 cm
- D: 15 cm
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