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Finding the Third Proportional to 22,451 and 47,268

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Solution

The third proportional to 22,451 and 47,268 is: 99,517.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,451 : 47,268 = 47,268 : x
  2. Step 2: Convert to fraction form
    22,451/47,268 = 47,268/x
  3. Step 3: Cross multiply
    22,451x = 47,268 × 47,268
  4. Step 4: Simplify right side
    22,451x = 2,234,263,824
  5. Step 5: Solve for x
    x = 2,234,263,824/22,451
  6. Step 6: Final answer
    x = 99,517.34

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.