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Finding the Third Proportional to 33,832 and 52,589

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Solution

The third proportional to 33,832 and 52,589 is: 81,745.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,832 : 52,589 = 52,589 : x
  2. Step 2: Convert to fraction form
    33,832/52,589 = 52,589/x
  3. Step 3: Cross multiply
    33,832x = 52,589 × 52,589
  4. Step 4: Simplify right side
    33,832x = 2,765,602,921
  5. Step 5: Solve for x
    x = 2,765,602,921/33,832
  6. Step 6: Final answer
    x = 81,745.18

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Why These Related Problems?

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