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Finding the Third Proportional to 33,717 and 70,902

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Solution

The third proportional to 33,717 and 70,902 is: 149,096.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,717 : 70,902 = 70,902 : x
  2. Step 2: Convert to fraction form
    33,717/70,902 = 70,902/x
  3. Step 3: Cross multiply
    33,717x = 70,902 × 70,902
  4. Step 4: Simplify right side
    33,717x = 5,027,093,604
  5. Step 5: Solve for x
    x = 5,027,093,604/33,717
  6. Step 6: Final answer
    x = 149,096.71

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.