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Finding the Third Proportional to 38,866 and 61,802

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Solution

The third proportional to 38,866 and 61,802 is: 98,273.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,866 : 61,802 = 61,802 : x
  2. Step 2: Convert to fraction form
    38,866/61,802 = 61,802/x
  3. Step 3: Cross multiply
    38,866x = 61,802 × 61,802
  4. Step 4: Simplify right side
    38,866x = 3,819,487,204
  5. Step 5: Solve for x
    x = 3,819,487,204/38,866
  6. Step 6: Final answer
    x = 98,273.23

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.