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Finding the Third Proportional to 20,022 and 29,961

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Solution

The third proportional to 20,022 and 29,961 is: 44,833.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,022 : 29,961 = 29,961 : x
  2. Step 2: Convert to fraction form
    20,022/29,961 = 29,961/x
  3. Step 3: Cross multiply
    20,022x = 29,961 × 29,961
  4. Step 4: Simplify right side
    20,022x = 897,661,521
  5. Step 5: Solve for x
    x = 897,661,521/20,022
  6. Step 6: Final answer
    x = 44,833.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.