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Finding the Third Proportional to 37,591 and 81,059

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Solution

The third proportional to 37,591 and 81,059 is: 174,790.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,591 : 81,059 = 81,059 : x
  2. Step 2: Convert to fraction form
    37,591/81,059 = 81,059/x
  3. Step 3: Cross multiply
    37,591x = 81,059 × 81,059
  4. Step 4: Simplify right side
    37,591x = 6,570,561,481
  5. Step 5: Solve for x
    x = 6,570,561,481/37,591
  6. Step 6: Final answer
    x = 174,790.81

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Why These Related Problems?

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