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Finding the Third Proportional to 24,452 and 35,525

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Solution

The third proportional to 24,452 and 35,525 is: 51,612.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,452 : 35,525 = 35,525 : x
  2. Step 2: Convert to fraction form
    24,452/35,525 = 35,525/x
  3. Step 3: Cross multiply
    24,452x = 35,525 × 35,525
  4. Step 4: Simplify right side
    24,452x = 1,262,025,625
  5. Step 5: Solve for x
    x = 1,262,025,625/24,452
  6. Step 6: Final answer
    x = 51,612.37

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.