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Finding the Third Proportional to 38,894 and 80,932

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Solution

The third proportional to 38,894 and 80,932 is: 168,406.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,894 : 80,932 = 80,932 : x
  2. Step 2: Convert to fraction form
    38,894/80,932 = 80,932/x
  3. Step 3: Cross multiply
    38,894x = 80,932 × 80,932
  4. Step 4: Simplify right side
    38,894x = 6,549,988,624
  5. Step 5: Solve for x
    x = 6,549,988,624/38,894
  6. Step 6: Final answer
    x = 168,406.15

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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.