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Finding the Third Proportional to 37,431 and 80,694

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Solution

The third proportional to 37,431 and 80,694 is: 173,960.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,431 : 80,694 = 80,694 : x
  2. Step 2: Convert to fraction form
    37,431/80,694 = 80,694/x
  3. Step 3: Cross multiply
    37,431x = 80,694 × 80,694
  4. Step 4: Simplify right side
    37,431x = 6,511,521,636
  5. Step 5: Solve for x
    x = 6,511,521,636/37,431
  6. Step 6: Final answer
    x = 173,960.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.