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Finding the Third Proportional to 33,857.25 and 73,134.75

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Solution

The third proportional to 33,857.25 and 73,134.75 is: 157,977.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,857.25 : 73,134.75 = 73,134.75 : x
  2. Step 2: Convert to fraction form
    33,857.25/73,134.75 = 73,134.75/x
  3. Step 3: Cross multiply
    33,857.25x = 73,134.75 × 73,134.75
  4. Step 4: Simplify right side
    33,857.25x = 5,348,691,657.56
  5. Step 5: Solve for x
    x = 5,348,691,657.56/33,857.25
  6. Step 6: Final answer
    x = 157,977.73

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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.