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Finding the Third Proportional to 11,451 and 24,131

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Solution

The third proportional to 11,451 and 24,131 is: 50,851.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,451 : 24,131 = 24,131 : x
  2. Step 2: Convert to fraction form
    11,451/24,131 = 24,131/x
  3. Step 3: Cross multiply
    11,451x = 24,131 × 24,131
  4. Step 4: Simplify right side
    11,451x = 582,305,161
  5. Step 5: Solve for x
    x = 582,305,161/11,451
  6. Step 6: Final answer
    x = 50,851.90

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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.