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Finding the Third Proportional to 3,945.38 and 9,217.13

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Solution

The third proportional to 3,945.38 and 9,217.13 is: 21,532.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,945.38 : 9,217.13 = 9,217.13 : x
  2. Step 2: Convert to fraction form
    3,945.38/9,217.13 = 9,217.13/x
  3. Step 3: Cross multiply
    3,945.38x = 9,217.13 × 9,217.13
  4. Step 4: Simplify right side
    3,945.38x = 84,955,393.27
  5. Step 5: Solve for x
    x = 84,955,393.27/3,945.38
  6. Step 6: Final answer
    x = 21,532.91

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.