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Finding the Third Proportional to 47,517.61 and 66,432.38

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Solution

The third proportional to 47,517.61 and 66,432.38 is: 92,876.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,517.61 : 66,432.38 = 66,432.38 : x
  2. Step 2: Convert to fraction form
    47,517.61/66,432.38 = 66,432.38/x
  3. Step 3: Cross multiply
    47,517.61x = 66,432.38 × 66,432.38
  4. Step 4: Simplify right side
    47,517.61x = 4,413,260,448.14
  5. Step 5: Solve for x
    x = 4,413,260,448.14/47,517.61
  6. Step 6: Final answer
    x = 92,876.31

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.