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Finding the Third Proportional to 22,452 and 34,398

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Solution

The third proportional to 22,452 and 34,398 is: 52,700.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,452 : 34,398 = 34,398 : x
  2. Step 2: Convert to fraction form
    22,452/34,398 = 34,398/x
  3. Step 3: Cross multiply
    22,452x = 34,398 × 34,398
  4. Step 4: Simplify right side
    22,452x = 1,183,222,404
  5. Step 5: Solve for x
    x = 1,183,222,404/22,452
  6. Step 6: Final answer
    x = 52,700.09

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.