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Finding the Third Proportional to 2,391.38 and 5,149.13

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Solution

The third proportional to 2,391.38 and 5,149.13 is: 11,087.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,391.38 : 5,149.13 = 5,149.13 : x
  2. Step 2: Convert to fraction form
    2,391.38/5,149.13 = 5,149.13/x
  3. Step 3: Cross multiply
    2,391.38x = 5,149.13 × 5,149.13
  4. Step 4: Simplify right side
    2,391.38x = 26,513,488.27
  5. Step 5: Solve for x
    x = 26,513,488.27/2,391.38
  6. Step 6: Final answer
    x = 11,087.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.