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Finding the Third Proportional to 39,564 and 60,344

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Solution

The third proportional to 39,564 and 60,344 is: 92,038.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,564 : 60,344 = 60,344 : x
  2. Step 2: Convert to fraction form
    39,564/60,344 = 60,344/x
  3. Step 3: Cross multiply
    39,564x = 60,344 × 60,344
  4. Step 4: Simplify right side
    39,564x = 3,641,398,336
  5. Step 5: Solve for x
    x = 3,641,398,336/39,564
  6. Step 6: Final answer
    x = 92,038.17

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.