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Finding the Third Proportional to 41,474 and 62,979

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Solution

The third proportional to 41,474 and 62,979 is: 95,634.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,474 : 62,979 = 62,979 : x
  2. Step 2: Convert to fraction form
    41,474/62,979 = 62,979/x
  3. Step 3: Cross multiply
    41,474x = 62,979 × 62,979
  4. Step 4: Simplify right side
    41,474x = 3,966,354,441
  5. Step 5: Solve for x
    x = 3,966,354,441/41,474
  6. Step 6: Final answer
    x = 95,634.72

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.