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Finding the Third Proportional to 20,471 and 44,446

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Solution

The third proportional to 20,471 and 44,446 is: 96,499.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,471 : 44,446 = 44,446 : x
  2. Step 2: Convert to fraction form
    20,471/44,446 = 44,446/x
  3. Step 3: Cross multiply
    20,471x = 44,446 × 44,446
  4. Step 4: Simplify right side
    20,471x = 1,975,446,916
  5. Step 5: Solve for x
    x = 1,975,446,916/20,471
  6. Step 6: Final answer
    x = 96,499.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.