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Finding the Third Proportional to 37,673 and 80,589

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Solution

The third proportional to 37,673 and 80,589 is: 172,393.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,673 : 80,589 = 80,589 : x
  2. Step 2: Convert to fraction form
    37,673/80,589 = 80,589/x
  3. Step 3: Cross multiply
    37,673x = 80,589 × 80,589
  4. Step 4: Simplify right side
    37,673x = 6,494,586,921
  5. Step 5: Solve for x
    x = 6,494,586,921/37,673
  6. Step 6: Final answer
    x = 172,393.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.