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Finding the Third Proportional to 10,940.91 and 24,001.31

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Solution

The third proportional to 10,940.91 and 24,001.31 is: 52,652.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,940.91 : 24,001.31 = 24,001.31 : x
  2. Step 2: Convert to fraction form
    10,940.91/24,001.31 = 24,001.31/x
  3. Step 3: Cross multiply
    10,940.91x = 24,001.31 × 24,001.31
  4. Step 4: Simplify right side
    10,940.91x = 576,063,001.72
  5. Step 5: Solve for x
    x = 576,063,001.72/10,940.91
  6. Step 6: Final answer
    x = 52,652.22

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.