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Finding the Third Proportional to 20,474 and 43,122

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Solution

The third proportional to 20,474 and 43,122 is: 90,822.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,474 : 43,122 = 43,122 : x
  2. Step 2: Convert to fraction form
    20,474/43,122 = 43,122/x
  3. Step 3: Cross multiply
    20,474x = 43,122 × 43,122
  4. Step 4: Simplify right side
    20,474x = 1,859,506,884
  5. Step 5: Solve for x
    x = 1,859,506,884/20,474
  6. Step 6: Final answer
    x = 90,822.84

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.