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Finding the Third Proportional to 39,927 and 62,073

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Solution

The third proportional to 39,927 and 62,073 is: 96,502.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,927 : 62,073 = 62,073 : x
  2. Step 2: Convert to fraction form
    39,927/62,073 = 62,073/x
  3. Step 3: Cross multiply
    39,927x = 62,073 × 62,073
  4. Step 4: Simplify right side
    39,927x = 3,853,057,329
  5. Step 5: Solve for x
    x = 3,853,057,329/39,927
  6. Step 6: Final answer
    x = 96,502.55

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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.