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Finding the Third Proportional to 37,723 and 81,375

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Solution

The third proportional to 37,723 and 81,375 is: 175,539.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,723 : 81,375 = 81,375 : x
  2. Step 2: Convert to fraction form
    37,723/81,375 = 81,375/x
  3. Step 3: Cross multiply
    37,723x = 81,375 × 81,375
  4. Step 4: Simplify right side
    37,723x = 6,621,890,625
  5. Step 5: Solve for x
    x = 6,621,890,625/37,723
  6. Step 6: Final answer
    x = 175,539.87

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