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Finding the Third Proportional to 38,616 and 83,874

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Solution

The third proportional to 38,616 and 83,874 is: 182,174.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,616 : 83,874 = 83,874 : x
  2. Step 2: Convert to fraction form
    38,616/83,874 = 83,874/x
  3. Step 3: Cross multiply
    38,616x = 83,874 × 83,874
  4. Step 4: Simplify right side
    38,616x = 7,034,847,876
  5. Step 5: Solve for x
    x = 7,034,847,876/38,616
  6. Step 6: Final answer
    x = 182,174.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.