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Finding the Third Proportional to 41,006.25 and 63,217.13

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Solution

The third proportional to 41,006.25 and 63,217.13 is: 97,458.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,006.25 : 63,217.13 = 63,217.13 : x
  2. Step 2: Convert to fraction form
    41,006.25/63,217.13 = 63,217.13/x
  3. Step 3: Cross multiply
    41,006.25x = 63,217.13 × 63,217.13
  4. Step 4: Simplify right side
    41,006.25x = 3,996,404,893.27
  5. Step 5: Solve for x
    x = 3,996,404,893.27/41,006.25
  6. Step 6: Final answer
    x = 97,458.43

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.