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Finding the Third Proportional to 4,167.38 and 9,040.97

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Solution

The third proportional to 4,167.38 and 9,040.97 is: 19,614.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,167.38 : 9,040.97 = 9,040.97 : x
  2. Step 2: Convert to fraction form
    4,167.38/9,040.97 = 9,040.97/x
  3. Step 3: Cross multiply
    4,167.38x = 9,040.97 × 9,040.97
  4. Step 4: Simplify right side
    4,167.38x = 81,739,115.94
  5. Step 5: Solve for x
    x = 81,739,115.94/4,167.38
  6. Step 6: Final answer
    x = 19,614.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.