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Finding the Third Proportional to 39,866 and 54,166

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Solution

The third proportional to 39,866 and 54,166 is: 73,595.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,866 : 54,166 = 54,166 : x
  2. Step 2: Convert to fraction form
    39,866/54,166 = 54,166/x
  3. Step 3: Cross multiply
    39,866x = 54,166 × 54,166
  4. Step 4: Simplify right side
    39,866x = 2,933,955,556
  5. Step 5: Solve for x
    x = 2,933,955,556/39,866
  6. Step 6: Final answer
    x = 73,595.43

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.