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Finding the Third Proportional to 39,662 and 59,497

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Solution

The third proportional to 39,662 and 59,497 is: 89,251.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,662 : 59,497 = 59,497 : x
  2. Step 2: Convert to fraction form
    39,662/59,497 = 59,497/x
  3. Step 3: Cross multiply
    39,662x = 59,497 × 59,497
  4. Step 4: Simplify right side
    39,662x = 3,539,893,009
  5. Step 5: Solve for x
    x = 3,539,893,009/39,662
  6. Step 6: Final answer
    x = 89,251.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.