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Finding the Third Proportional to 20,922 and 44,874

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Solution

The third proportional to 20,922 and 44,874 is: 96,246.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,922 : 44,874 = 44,874 : x
  2. Step 2: Convert to fraction form
    20,922/44,874 = 44,874/x
  3. Step 3: Cross multiply
    20,922x = 44,874 × 44,874
  4. Step 4: Simplify right side
    20,922x = 2,013,675,876
  5. Step 5: Solve for x
    x = 2,013,675,876/20,922
  6. Step 6: Final answer
    x = 96,246.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.