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Finding the Third Proportional to 20,734 and 48,734

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Solution

The third proportional to 20,734 and 48,734 is: 114,546.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,734 : 48,734 = 48,734 : x
  2. Step 2: Convert to fraction form
    20,734/48,734 = 48,734/x
  3. Step 3: Cross multiply
    20,734x = 48,734 × 48,734
  4. Step 4: Simplify right side
    20,734x = 2,375,002,756
  5. Step 5: Solve for x
    x = 2,375,002,756/20,734
  6. Step 6: Final answer
    x = 114,546.29

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.