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Finding the Third Proportional to 11,831 and 25,876

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Solution

The third proportional to 11,831 and 25,876 is: 56,594.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,831 : 25,876 = 25,876 : x
  2. Step 2: Convert to fraction form
    11,831/25,876 = 25,876/x
  3. Step 3: Cross multiply
    11,831x = 25,876 × 25,876
  4. Step 4: Simplify right side
    11,831x = 669,567,376
  5. Step 5: Solve for x
    x = 669,567,376/11,831
  6. Step 6: Final answer
    x = 56,594.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.