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Finding the Third Proportional to 11,956 and 26,096

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Solution

The third proportional to 11,956 and 26,096 is: 56,958.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,956 : 26,096 = 26,096 : x
  2. Step 2: Convert to fraction form
    11,956/26,096 = 26,096/x
  3. Step 3: Cross multiply
    11,956x = 26,096 × 26,096
  4. Step 4: Simplify right side
    11,956x = 681,001,216
  5. Step 5: Solve for x
    x = 681,001,216/11,956
  6. Step 6: Final answer
    x = 56,958.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.