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Finding the Third Proportional to 15,091.13 and 22,887.56

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Solution

The third proportional to 15,091.13 and 22,887.56 is: 34,711.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,091.13 : 22,887.56 = 22,887.56 : x
  2. Step 2: Convert to fraction form
    15,091.13/22,887.56 = 22,887.56/x
  3. Step 3: Cross multiply
    15,091.13x = 22,887.56 × 22,887.56
  4. Step 4: Simplify right side
    15,091.13x = 523,840,517.19
  5. Step 5: Solve for x
    x = 523,840,517.19/15,091.13
  6. Step 6: Final answer
    x = 34,711.83

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.