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Finding the Third Proportional to 33,589 and 51,051

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Solution

The third proportional to 33,589 and 51,051 is: 77,591.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,589 : 51,051 = 51,051 : x
  2. Step 2: Convert to fraction form
    33,589/51,051 = 51,051/x
  3. Step 3: Cross multiply
    33,589x = 51,051 × 51,051
  4. Step 4: Simplify right side
    33,589x = 2,606,204,601
  5. Step 5: Solve for x
    x = 2,606,204,601/33,589
  6. Step 6: Final answer
    x = 77,591.01

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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.