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Finding the Third Proportional to 41,344 and 63,900

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Solution

The third proportional to 41,344 and 63,900 is: 98,761.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,344 : 63,900 = 63,900 : x
  2. Step 2: Convert to fraction form
    41,344/63,900 = 63,900/x
  3. Step 3: Cross multiply
    41,344x = 63,900 × 63,900
  4. Step 4: Simplify right side
    41,344x = 4,083,210,000
  5. Step 5: Solve for x
    x = 4,083,210,000/41,344
  6. Step 6: Final answer
    x = 98,761.85

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.