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Finding the Third Proportional to 20,338 and 32,474

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Solution

The third proportional to 20,338 and 32,474 is: 51,851.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,338 : 32,474 = 32,474 : x
  2. Step 2: Convert to fraction form
    20,338/32,474 = 32,474/x
  3. Step 3: Cross multiply
    20,338x = 32,474 × 32,474
  4. Step 4: Simplify right side
    20,338x = 1,054,560,676
  5. Step 5: Solve for x
    x = 1,054,560,676/20,338
  6. Step 6: Final answer
    x = 51,851.74

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.