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Finding the Third Proportional to 37,842 and 80,643

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Solution

The third proportional to 37,842 and 80,643 is: 171,853.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,842 : 80,643 = 80,643 : x
  2. Step 2: Convert to fraction form
    37,842/80,643 = 80,643/x
  3. Step 3: Cross multiply
    37,842x = 80,643 × 80,643
  4. Step 4: Simplify right side
    37,842x = 6,503,293,449
  5. Step 5: Solve for x
    x = 6,503,293,449/37,842
  6. Step 6: Final answer
    x = 171,853.85

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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.