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Finding the Third Proportional to 38,079.25 and 82,514

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Solution

The third proportional to 38,079.25 and 82,514 is: 178,799.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,079.25 : 82,514 = 82,514 : x
  2. Step 2: Convert to fraction form
    38,079.25/82,514 = 82,514/x
  3. Step 3: Cross multiply
    38,079.25x = 82,514 × 82,514
  4. Step 4: Simplify right side
    38,079.25x = 6,808,560,196
  5. Step 5: Solve for x
    x = 6,808,560,196/38,079.25
  6. Step 6: Final answer
    x = 178,799.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.