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Finding the Third Proportional to 11,593.13 and 15,747.75

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Solution

The third proportional to 11,593.13 and 15,747.75 is: 21,391.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,593.13 : 15,747.75 = 15,747.75 : x
  2. Step 2: Convert to fraction form
    11,593.13/15,747.75 = 15,747.75/x
  3. Step 3: Cross multiply
    11,593.13x = 15,747.75 × 15,747.75
  4. Step 4: Simplify right side
    11,593.13x = 247,991,630.06
  5. Step 5: Solve for x
    x = 247,991,630.06/11,593.13
  6. Step 6: Final answer
    x = 21,391.27

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.