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Finding the Third Proportional to 38,414 and 79,894

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Solution

The third proportional to 38,414 and 79,894 is: 166,164.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,414 : 79,894 = 79,894 : x
  2. Step 2: Convert to fraction form
    38,414/79,894 = 79,894/x
  3. Step 3: Cross multiply
    38,414x = 79,894 × 79,894
  4. Step 4: Simplify right side
    38,414x = 6,383,051,236
  5. Step 5: Solve for x
    x = 6,383,051,236/38,414
  6. Step 6: Final answer
    x = 166,164.71

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.