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Finding the Third Proportional to 39,552 and 61,598

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Solution

The third proportional to 39,552 and 61,598 is: 95,932.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,552 : 61,598 = 61,598 : x
  2. Step 2: Convert to fraction form
    39,552/61,598 = 61,598/x
  3. Step 3: Cross multiply
    39,552x = 61,598 × 61,598
  4. Step 4: Simplify right side
    39,552x = 3,794,313,604
  5. Step 5: Solve for x
    x = 3,794,313,604/39,552
  6. Step 6: Final answer
    x = 95,932.28

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.