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Finding the Third Proportional to 20,022 and 25,981

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Solution

The third proportional to 20,022 and 25,981 is: 33,713.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,022 : 25,981 = 25,981 : x
  2. Step 2: Convert to fraction form
    20,022/25,981 = 25,981/x
  3. Step 3: Cross multiply
    20,022x = 25,981 × 25,981
  4. Step 4: Simplify right side
    20,022x = 675,012,361
  5. Step 5: Solve for x
    x = 675,012,361/20,022
  6. Step 6: Final answer
    x = 33,713.53

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.