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Finding the Third Proportional to 24,375 and 52,452

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Solution

The third proportional to 24,375 and 52,452 is: 112,870.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,375 : 52,452 = 52,452 : x
  2. Step 2: Convert to fraction form
    24,375/52,452 = 52,452/x
  3. Step 3: Cross multiply
    24,375x = 52,452 × 52,452
  4. Step 4: Simplify right side
    24,375x = 2,751,212,304
  5. Step 5: Solve for x
    x = 2,751,212,304/24,375
  6. Step 6: Final answer
    x = 112,870.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.