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Finding the Third Proportional to 38,796 and 82,872

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Solution

The third proportional to 38,796 and 82,872 is: 177,022.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,796 : 82,872 = 82,872 : x
  2. Step 2: Convert to fraction form
    38,796/82,872 = 82,872/x
  3. Step 3: Cross multiply
    38,796x = 82,872 × 82,872
  4. Step 4: Simplify right side
    38,796x = 6,867,768,384
  5. Step 5: Solve for x
    x = 6,867,768,384/38,796
  6. Step 6: Final answer
    x = 177,022.59

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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.