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Finding the Third Proportional to 11,759 and 18,013.25

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Solution

The third proportional to 11,759 and 18,013.25 is: 27,593.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,759 : 18,013.25 = 18,013.25 : x
  2. Step 2: Convert to fraction form
    11,759/18,013.25 = 18,013.25/x
  3. Step 3: Cross multiply
    11,759x = 18,013.25 × 18,013.25
  4. Step 4: Simplify right side
    11,759x = 324,477,175.56
  5. Step 5: Solve for x
    x = 324,477,175.56/11,759
  6. Step 6: Final answer
    x = 27,593.94

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.