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Finding the Third Proportional to 11,876 and 25,655

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Solution

The third proportional to 11,876 and 25,655 is: 55,420.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,876 : 25,655 = 25,655 : x
  2. Step 2: Convert to fraction form
    11,876/25,655 = 25,655/x
  3. Step 3: Cross multiply
    11,876x = 25,655 × 25,655
  4. Step 4: Simplify right side
    11,876x = 658,179,025
  5. Step 5: Solve for x
    x = 658,179,025/11,876
  6. Step 6: Final answer
    x = 55,420.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.