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Finding the Third Proportional to 38,720 and 54,524

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Solution

The third proportional to 38,720 and 54,524 is: 76,778.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,720 : 54,524 = 54,524 : x
  2. Step 2: Convert to fraction form
    38,720/54,524 = 54,524/x
  3. Step 3: Cross multiply
    38,720x = 54,524 × 54,524
  4. Step 4: Simplify right side
    38,720x = 2,972,866,576
  5. Step 5: Solve for x
    x = 2,972,866,576/38,720
  6. Step 6: Final answer
    x = 76,778.58

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.