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Finding the Third Proportional to 11,822 and 24,182

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Solution

The third proportional to 11,822 and 24,182 is: 49,464.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,822 : 24,182 = 24,182 : x
  2. Step 2: Convert to fraction form
    11,822/24,182 = 24,182/x
  3. Step 3: Cross multiply
    11,822x = 24,182 × 24,182
  4. Step 4: Simplify right side
    11,822x = 584,769,124
  5. Step 5: Solve for x
    x = 584,769,124/11,822
  6. Step 6: Final answer
    x = 49,464.48

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.