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Finding the Third Proportional to 37,842 and 80,466

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Solution

The third proportional to 37,842 and 80,466 is: 171,100.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,842 : 80,466 = 80,466 : x
  2. Step 2: Convert to fraction form
    37,842/80,466 = 80,466/x
  3. Step 3: Cross multiply
    37,842x = 80,466 × 80,466
  4. Step 4: Simplify right side
    37,842x = 6,474,777,156
  5. Step 5: Solve for x
    x = 6,474,777,156/37,842
  6. Step 6: Final answer
    x = 171,100.29

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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.