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Finding the Third Proportional to 33,648 and 52,250

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Solution

The third proportional to 33,648 and 52,250 is: 81,135.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,648 : 52,250 = 52,250 : x
  2. Step 2: Convert to fraction form
    33,648/52,250 = 52,250/x
  3. Step 3: Cross multiply
    33,648x = 52,250 × 52,250
  4. Step 4: Simplify right side
    33,648x = 2,730,062,500
  5. Step 5: Solve for x
    x = 2,730,062,500/33,648
  6. Step 6: Final answer
    x = 81,135.95

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.