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Finding the Third Proportional to 38,034 and 80,982

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Solution

The third proportional to 38,034 and 80,982 is: 172,426.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,034 : 80,982 = 80,982 : x
  2. Step 2: Convert to fraction form
    38,034/80,982 = 80,982/x
  3. Step 3: Cross multiply
    38,034x = 80,982 × 80,982
  4. Step 4: Simplify right side
    38,034x = 6,558,084,324
  5. Step 5: Solve for x
    x = 6,558,084,324/38,034
  6. Step 6: Final answer
    x = 172,426.89

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.