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Finding the Third Proportional to 20,297 and 44,474

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Solution

The third proportional to 20,297 and 44,474 is: 97,449.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,297 : 44,474 = 44,474 : x
  2. Step 2: Convert to fraction form
    20,297/44,474 = 44,474/x
  3. Step 3: Cross multiply
    20,297x = 44,474 × 44,474
  4. Step 4: Simplify right side
    20,297x = 1,977,936,676
  5. Step 5: Solve for x
    x = 1,977,936,676/20,297
  6. Step 6: Final answer
    x = 97,449.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.