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Finding the Third Proportional to 20,829 and 32,474

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Solution

The third proportional to 20,829 and 32,474 is: 50,629.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,829 : 32,474 = 32,474 : x
  2. Step 2: Convert to fraction form
    20,829/32,474 = 32,474/x
  3. Step 3: Cross multiply
    20,829x = 32,474 × 32,474
  4. Step 4: Simplify right side
    20,829x = 1,054,560,676
  5. Step 5: Solve for x
    x = 1,054,560,676/20,829
  6. Step 6: Final answer
    x = 50,629.44

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.