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Finding the Third Proportional to 20,002 and 22,486

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Solution

The third proportional to 20,002 and 22,486 is: 25,278.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,002 : 22,486 = 22,486 : x
  2. Step 2: Convert to fraction form
    20,002/22,486 = 22,486/x
  3. Step 3: Cross multiply
    20,002x = 22,486 × 22,486
  4. Step 4: Simplify right side
    20,002x = 505,620,196
  5. Step 5: Solve for x
    x = 505,620,196/20,002
  6. Step 6: Final answer
    x = 25,278.48

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.