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Finding the Third Proportional to 9,001.13 and 13,471.31

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Solution

The third proportional to 9,001.13 and 13,471.31 is: 20,161.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,001.13 : 13,471.31 = 13,471.31 : x
  2. Step 2: Convert to fraction form
    9,001.13/13,471.31 = 13,471.31/x
  3. Step 3: Cross multiply
    9,001.13x = 13,471.31 × 13,471.31
  4. Step 4: Simplify right side
    9,001.13x = 181,476,260.47
  5. Step 5: Solve for x
    x = 181,476,260.47/9,001.13
  6. Step 6: Final answer
    x = 20,161.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.