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Finding the Third Proportional to 37,424 and 81,744

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Solution

The third proportional to 37,424 and 81,744 is: 178,550.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,424 : 81,744 = 81,744 : x
  2. Step 2: Convert to fraction form
    37,424/81,744 = 81,744/x
  3. Step 3: Cross multiply
    37,424x = 81,744 × 81,744
  4. Step 4: Simplify right side
    37,424x = 6,682,081,536
  5. Step 5: Solve for x
    x = 6,682,081,536/37,424
  6. Step 6: Final answer
    x = 178,550.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.