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Finding the Third Proportional to 38,677 and 82,412

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Solution

The third proportional to 38,677 and 82,412 is: 175,601.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,677 : 82,412 = 82,412 : x
  2. Step 2: Convert to fraction form
    38,677/82,412 = 82,412/x
  3. Step 3: Cross multiply
    38,677x = 82,412 × 82,412
  4. Step 4: Simplify right side
    38,677x = 6,791,737,744
  5. Step 5: Solve for x
    x = 6,791,737,744/38,677
  6. Step 6: Final answer
    x = 175,601.46

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.