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Finding the Third Proportional to 33,963.75 and 73,767.38

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Solution

The third proportional to 33,963.75 and 73,767.38 is: 160,218.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,963.75 : 73,767.38 = 73,767.38 : x
  2. Step 2: Convert to fraction form
    33,963.75/73,767.38 = 73,767.38/x
  3. Step 3: Cross multiply
    33,963.75x = 73,767.38 × 73,767.38
  4. Step 4: Simplify right side
    33,963.75x = 5,441,625,614.39
  5. Step 5: Solve for x
    x = 5,441,625,614.39/33,963.75
  6. Step 6: Final answer
    x = 160,218.63

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.