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Finding the Third Proportional to 11,775 and 25,874

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Solution

The third proportional to 11,775 and 25,874 is: 56,854.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,775 : 25,874 = 25,874 : x
  2. Step 2: Convert to fraction form
    11,775/25,874 = 25,874/x
  3. Step 3: Cross multiply
    11,775x = 25,874 × 25,874
  4. Step 4: Simplify right side
    11,775x = 669,463,876
  5. Step 5: Solve for x
    x = 669,463,876/11,775
  6. Step 6: Final answer
    x = 56,854.68

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.