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Finding the Third Proportional to 33,081.75 and 71,722

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Solution

The third proportional to 33,081.75 and 71,722 is: 155,494.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,081.75 : 71,722 = 71,722 : x
  2. Step 2: Convert to fraction form
    33,081.75/71,722 = 71,722/x
  3. Step 3: Cross multiply
    33,081.75x = 71,722 × 71,722
  4. Step 4: Simplify right side
    33,081.75x = 5,144,045,284
  5. Step 5: Solve for x
    x = 5,144,045,284/33,081.75
  6. Step 6: Final answer
    x = 155,494.96

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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.