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Finding the Third Proportional to 42,687 and 51,414.75

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Solution

The third proportional to 42,687 and 51,414.75 is: 61,926.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,687 : 51,414.75 = 51,414.75 : x
  2. Step 2: Convert to fraction form
    42,687/51,414.75 = 51,414.75/x
  3. Step 3: Cross multiply
    42,687x = 51,414.75 × 51,414.75
  4. Step 4: Simplify right side
    42,687x = 2,643,476,517.56
  5. Step 5: Solve for x
    x = 2,643,476,517.56/42,687
  6. Step 6: Final answer
    x = 61,926.97

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.