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Finding the Third Proportional to 20,601 and 31,982

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Solution

The third proportional to 20,601 and 31,982 is: 49,650.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,601 : 31,982 = 31,982 : x
  2. Step 2: Convert to fraction form
    20,601/31,982 = 31,982/x
  3. Step 3: Cross multiply
    20,601x = 31,982 × 31,982
  4. Step 4: Simplify right side
    20,601x = 1,022,848,324
  5. Step 5: Solve for x
    x = 1,022,848,324/20,601
  6. Step 6: Final answer
    x = 49,650.42

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.