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Finding the Third Proportional to 20,857 and 44,974

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Solution

The third proportional to 20,857 and 44,974 is: 96,977.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,857 : 44,974 = 44,974 : x
  2. Step 2: Convert to fraction form
    20,857/44,974 = 44,974/x
  3. Step 3: Cross multiply
    20,857x = 44,974 × 44,974
  4. Step 4: Simplify right side
    20,857x = 2,022,660,676
  5. Step 5: Solve for x
    x = 2,022,660,676/20,857
  6. Step 6: Final answer
    x = 96,977.55

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.