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Finding the Third Proportional to 38,866 and 83,677

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Solution

The third proportional to 38,866 and 83,677 is: 180,153.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,866 : 83,677 = 83,677 : x
  2. Step 2: Convert to fraction form
    38,866/83,677 = 83,677/x
  3. Step 3: Cross multiply
    38,866x = 83,677 × 83,677
  4. Step 4: Simplify right side
    38,866x = 7,001,840,329
  5. Step 5: Solve for x
    x = 7,001,840,329/38,866
  6. Step 6: Final answer
    x = 180,153.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.