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Finding the Third Proportional to 33,660 and 71,694

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Solution

The third proportional to 33,660 and 71,694 is: 152,704.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,660 : 71,694 = 71,694 : x
  2. Step 2: Convert to fraction form
    33,660/71,694 = 71,694/x
  3. Step 3: Cross multiply
    33,660x = 71,694 × 71,694
  4. Step 4: Simplify right side
    33,660x = 5,140,029,636
  5. Step 5: Solve for x
    x = 5,140,029,636/33,660
  6. Step 6: Final answer
    x = 152,704.39

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.