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Finding the Third Proportional to 39,702 and 61,602

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Solution

The third proportional to 39,702 and 61,602 is: 95,582.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,702 : 61,602 = 61,602 : x
  2. Step 2: Convert to fraction form
    39,702/61,602 = 61,602/x
  3. Step 3: Cross multiply
    39,702x = 61,602 × 61,602
  4. Step 4: Simplify right side
    39,702x = 3,794,806,404
  5. Step 5: Solve for x
    x = 3,794,806,404/39,702
  6. Step 6: Final answer
    x = 95,582.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.