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Finding the Third Proportional to 3,965 and 7,345

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Solution

The third proportional to 3,965 and 7,345 is: 13,606.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,965 : 7,345 = 7,345 : x
  2. Step 2: Convert to fraction form
    3,965/7,345 = 7,345/x
  3. Step 3: Cross multiply
    3,965x = 7,345 × 7,345
  4. Step 4: Simplify right side
    3,965x = 53,949,025
  5. Step 5: Solve for x
    x = 53,949,025/3,965
  6. Step 6: Final answer
    x = 13,606.31

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.