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Finding the Third Proportional to 11,960 and 26,104

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Solution

The third proportional to 11,960 and 26,104 is: 56,974.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,960 : 26,104 = 26,104 : x
  2. Step 2: Convert to fraction form
    11,960/26,104 = 26,104/x
  3. Step 3: Cross multiply
    11,960x = 26,104 × 26,104
  4. Step 4: Simplify right side
    11,960x = 681,418,816
  5. Step 5: Solve for x
    x = 681,418,816/11,960
  6. Step 6: Final answer
    x = 56,974.82

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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.