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Finding the Third Proportional to 37,850 and 81,474

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Solution

The third proportional to 37,850 and 81,474 is: 175,376.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,850 : 81,474 = 81,474 : x
  2. Step 2: Convert to fraction form
    37,850/81,474 = 81,474/x
  3. Step 3: Cross multiply
    37,850x = 81,474 × 81,474
  4. Step 4: Simplify right side
    37,850x = 6,638,012,676
  5. Step 5: Solve for x
    x = 6,638,012,676/37,850
  6. Step 6: Final answer
    x = 175,376.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.