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Finding the Third Proportional to 39,936 and 62,092

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Solution

The third proportional to 39,936 and 62,092 is: 96,539.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,936 : 62,092 = 62,092 : x
  2. Step 2: Convert to fraction form
    39,936/62,092 = 62,092/x
  3. Step 3: Cross multiply
    39,936x = 62,092 × 62,092
  4. Step 4: Simplify right side
    39,936x = 3,855,416,464
  5. Step 5: Solve for x
    x = 3,855,416,464/39,936
  6. Step 6: Final answer
    x = 96,539.88

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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.