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Finding the Third Proportional to 11,761 and 24,098

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Solution

The third proportional to 11,761 and 24,098 is: 49,376.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,761 : 24,098 = 24,098 : x
  2. Step 2: Convert to fraction form
    11,761/24,098 = 24,098/x
  3. Step 3: Cross multiply
    11,761x = 24,098 × 24,098
  4. Step 4: Simplify right side
    11,761x = 580,713,604
  5. Step 5: Solve for x
    x = 580,713,604/11,761
  6. Step 6: Final answer
    x = 49,376.21

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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.