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Finding the Third Proportional to 38,866 and 87,814

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Solution

The third proportional to 38,866 and 87,814 is: 198,407.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,866 : 87,814 = 87,814 : x
  2. Step 2: Convert to fraction form
    38,866/87,814 = 87,814/x
  3. Step 3: Cross multiply
    38,866x = 87,814 × 87,814
  4. Step 4: Simplify right side
    38,866x = 7,711,298,596
  5. Step 5: Solve for x
    x = 7,711,298,596/38,866
  6. Step 6: Final answer
    x = 198,407.31

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.