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Finding the Third Proportional to 37,589 and 82,617

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Solution

The third proportional to 37,589 and 82,617 is: 181,584.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,589 : 82,617 = 82,617 : x
  2. Step 2: Convert to fraction form
    37,589/82,617 = 82,617/x
  3. Step 3: Cross multiply
    37,589x = 82,617 × 82,617
  4. Step 4: Simplify right side
    37,589x = 6,825,568,689
  5. Step 5: Solve for x
    x = 6,825,568,689/37,589
  6. Step 6: Final answer
    x = 181,584.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.