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Finding the Third Proportional to 24,375 and 52,747.88

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Solution

The third proportional to 24,375 and 52,747.88 is: 114,147.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,375 : 52,747.88 = 52,747.88 : x
  2. Step 2: Convert to fraction form
    24,375/52,747.88 = 52,747.88/x
  3. Step 3: Cross multiply
    24,375x = 52,747.88 × 52,747.88
  4. Step 4: Simplify right side
    24,375x = 2,782,338,317.02
  5. Step 5: Solve for x
    x = 2,782,338,317.02/24,375
  6. Step 6: Final answer
    x = 114,147.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.