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Finding the Third Proportional to 11,313.38 and 24,857.13

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Solution

The third proportional to 11,313.38 and 24,857.13 is: 54,614.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,313.38 : 24,857.13 = 24,857.13 : x
  2. Step 2: Convert to fraction form
    11,313.38/24,857.13 = 24,857.13/x
  3. Step 3: Cross multiply
    11,313.38x = 24,857.13 × 24,857.13
  4. Step 4: Simplify right side
    11,313.38x = 617,876,663.27
  5. Step 5: Solve for x
    x = 617,876,663.27/11,313.38
  6. Step 6: Final answer
    x = 54,614.71

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.