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Finding the Third Proportional to 24,191.25 and 37,380.38

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Solution

The third proportional to 24,191.25 and 37,380.38 is: 57,760.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,191.25 : 37,380.38 = 37,380.38 : x
  2. Step 2: Convert to fraction form
    24,191.25/37,380.38 = 37,380.38/x
  3. Step 3: Cross multiply
    24,191.25x = 37,380.38 × 37,380.38
  4. Step 4: Simplify right side
    24,191.25x = 1,397,292,435.14
  5. Step 5: Solve for x
    x = 1,397,292,435.14/24,191.25
  6. Step 6: Final answer
    x = 57,760.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.