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Finding the Third Proportional to 20,021 and 41,446

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Solution

The third proportional to 20,021 and 41,446 is: 85,798.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,021 : 41,446 = 41,446 : x
  2. Step 2: Convert to fraction form
    20,021/41,446 = 41,446/x
  3. Step 3: Cross multiply
    20,021x = 41,446 × 41,446
  4. Step 4: Simplify right side
    20,021x = 1,717,770,916
  5. Step 5: Solve for x
    x = 1,717,770,916/20,021
  6. Step 6: Final answer
    x = 85,798.46

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.