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Finding the Third Proportional to 38,744 and 82,816

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Solution

The third proportional to 38,744 and 82,816 is: 177,020.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,744 : 82,816 = 82,816 : x
  2. Step 2: Convert to fraction form
    38,744/82,816 = 82,816/x
  3. Step 3: Cross multiply
    38,744x = 82,816 × 82,816
  4. Step 4: Simplify right side
    38,744x = 6,858,489,856
  5. Step 5: Solve for x
    x = 6,858,489,856/38,744
  6. Step 6: Final answer
    x = 177,020.70

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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.