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Finding the Third Proportional to 33,917 and 73,671

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Solution

The third proportional to 33,917 and 73,671 is: 160,020.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,917 : 73,671 = 73,671 : x
  2. Step 2: Convert to fraction form
    33,917/73,671 = 73,671/x
  3. Step 3: Cross multiply
    33,917x = 73,671 × 73,671
  4. Step 4: Simplify right side
    33,917x = 5,427,416,241
  5. Step 5: Solve for x
    x = 5,427,416,241/33,917
  6. Step 6: Final answer
    x = 160,020.53

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Why These Related Problems?

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