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Finding the Third Proportional to 18,234 and 38,734

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Solution

The third proportional to 18,234 and 38,734 is: 82,281.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,234 : 38,734 = 38,734 : x
  2. Step 2: Convert to fraction form
    18,234/38,734 = 38,734/x
  3. Step 3: Cross multiply
    18,234x = 38,734 × 38,734
  4. Step 4: Simplify right side
    18,234x = 1,500,322,756
  5. Step 5: Solve for x
    x = 1,500,322,756/18,234
  6. Step 6: Final answer
    x = 82,281.60

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.