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Finding the Third Proportional to 38,344 and 82,856

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Solution

The third proportional to 38,344 and 82,856 is: 179,040.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,344 : 82,856 = 82,856 : x
  2. Step 2: Convert to fraction form
    38,344/82,856 = 82,856/x
  3. Step 3: Cross multiply
    38,344x = 82,856 × 82,856
  4. Step 4: Simplify right side
    38,344x = 6,865,116,736
  5. Step 5: Solve for x
    x = 6,865,116,736/38,344
  6. Step 6: Final answer
    x = 179,040.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.