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Finding the Third Proportional to 39,564 and 62,604

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Solution

The third proportional to 39,564 and 62,604 is: 99,061.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,564 : 62,604 = 62,604 : x
  2. Step 2: Convert to fraction form
    39,564/62,604 = 62,604/x
  3. Step 3: Cross multiply
    39,564x = 62,604 × 62,604
  4. Step 4: Simplify right side
    39,564x = 3,919,260,816
  5. Step 5: Solve for x
    x = 3,919,260,816/39,564
  6. Step 6: Final answer
    x = 99,061.29

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.