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Finding the Third Proportional to 15,442 and 33,282

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Solution

The third proportional to 15,442 and 33,282 is: 71,732.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,442 : 33,282 = 33,282 : x
  2. Step 2: Convert to fraction form
    15,442/33,282 = 33,282/x
  3. Step 3: Cross multiply
    15,442x = 33,282 × 33,282
  4. Step 4: Simplify right side
    15,442x = 1,107,691,524
  5. Step 5: Solve for x
    x = 1,107,691,524/15,442
  6. Step 6: Final answer
    x = 71,732.39

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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.