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Finding the Third Proportional to 20,057 and 40,601

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Solution

The third proportional to 20,057 and 40,601 is: 82,187.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,057 : 40,601 = 40,601 : x
  2. Step 2: Convert to fraction form
    20,057/40,601 = 40,601/x
  3. Step 3: Cross multiply
    20,057x = 40,601 × 40,601
  4. Step 4: Simplify right side
    20,057x = 1,648,441,201
  5. Step 5: Solve for x
    x = 1,648,441,201/20,057
  6. Step 6: Final answer
    x = 82,187.82

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.