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Finding the Third Proportional to 11,821 and 24,251

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Solution

The third proportional to 11,821 and 24,251 is: 49,751.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,821 : 24,251 = 24,251 : x
  2. Step 2: Convert to fraction form
    11,821/24,251 = 24,251/x
  3. Step 3: Cross multiply
    11,821x = 24,251 × 24,251
  4. Step 4: Simplify right side
    11,821x = 588,111,001
  5. Step 5: Solve for x
    x = 588,111,001/11,821
  6. Step 6: Final answer
    x = 49,751.37

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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.