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Finding the Third Proportional to 20,040.75 and 27,766.13

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Solution

The third proportional to 20,040.75 and 27,766.13 is: 38,469.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,040.75 : 27,766.13 = 27,766.13 : x
  2. Step 2: Convert to fraction form
    20,040.75/27,766.13 = 27,766.13/x
  3. Step 3: Cross multiply
    20,040.75x = 27,766.13 × 27,766.13
  4. Step 4: Simplify right side
    20,040.75x = 770,957,697.52
  5. Step 5: Solve for x
    x = 770,957,697.52/20,040.75
  6. Step 6: Final answer
    x = 38,469.50

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.