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Finding the Third Proportional to 20,881 and 44,993

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Solution

The third proportional to 20,881 and 44,993 is: 96,947.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,881 : 44,993 = 44,993 : x
  2. Step 2: Convert to fraction form
    20,881/44,993 = 44,993/x
  3. Step 3: Cross multiply
    20,881x = 44,993 × 44,993
  4. Step 4: Simplify right side
    20,881x = 2,024,370,049
  5. Step 5: Solve for x
    x = 2,024,370,049/20,881
  6. Step 6: Final answer
    x = 96,947.95

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.