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Finding the Third Proportional to 37,550 and 81,589

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Solution

The third proportional to 37,550 and 81,589 is: 177,277.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,550 : 81,589 = 81,589 : x
  2. Step 2: Convert to fraction form
    37,550/81,589 = 81,589/x
  3. Step 3: Cross multiply
    37,550x = 81,589 × 81,589
  4. Step 4: Simplify right side
    37,550x = 6,656,764,921
  5. Step 5: Solve for x
    x = 6,656,764,921/37,550
  6. Step 6: Final answer
    x = 177,277.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.