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Finding the Third Proportional to 33,081.75 and 71,904.38

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Solution

The third proportional to 33,081.75 and 71,904.38 is: 156,286.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,081.75 : 71,904.38 = 71,904.38 : x
  2. Step 2: Convert to fraction form
    33,081.75/71,904.38 = 71,904.38/x
  3. Step 3: Cross multiply
    33,081.75x = 71,904.38 × 71,904.38
  4. Step 4: Simplify right side
    33,081.75x = 5,170,239,144.14
  5. Step 5: Solve for x
    x = 5,170,239,144.14/33,081.75
  6. Step 6: Final answer
    x = 156,286.75

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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.