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Finding the Third Proportional to 22,474.13 and 31,488.75

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Solution

The third proportional to 22,474.13 and 31,488.75 is: 44,119.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,474.13 : 31,488.75 = 31,488.75 : x
  2. Step 2: Convert to fraction form
    22,474.13/31,488.75 = 31,488.75/x
  3. Step 3: Cross multiply
    22,474.13x = 31,488.75 × 31,488.75
  4. Step 4: Simplify right side
    22,474.13x = 991,541,376.56
  5. Step 5: Solve for x
    x = 991,541,376.56/22,474.13
  6. Step 6: Final answer
    x = 44,119.24

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.