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Finding the Third Proportional to 11,105.86 and 24,463.27

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Solution

The third proportional to 11,105.86 and 24,463.27 is: 53,886.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,105.86 : 24,463.27 = 24,463.27 : x
  2. Step 2: Convert to fraction form
    11,105.86/24,463.27 = 24,463.27/x
  3. Step 3: Cross multiply
    11,105.86x = 24,463.27 × 24,463.27
  4. Step 4: Simplify right side
    11,105.86x = 598,451,365.04
  5. Step 5: Solve for x
    x = 598,451,365.04/11,105.86
  6. Step 6: Final answer
    x = 53,886.09

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