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Finding the Third Proportional to 33,642 and 51,282

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Solution

The third proportional to 33,642 and 51,282 is: 78,171.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,642 : 51,282 = 51,282 : x
  2. Step 2: Convert to fraction form
    33,642/51,282 = 51,282/x
  3. Step 3: Cross multiply
    33,642x = 51,282 × 51,282
  4. Step 4: Simplify right side
    33,642x = 2,629,843,524
  5. Step 5: Solve for x
    x = 2,629,843,524/33,642
  6. Step 6: Final answer
    x = 78,171.44

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.