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Finding the Third Proportional to 11,760 and 18,009

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Solution

The third proportional to 11,760 and 18,009 is: 27,578.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,760 : 18,009 = 18,009 : x
  2. Step 2: Convert to fraction form
    11,760/18,009 = 18,009/x
  3. Step 3: Cross multiply
    11,760x = 18,009 × 18,009
  4. Step 4: Simplify right side
    11,760x = 324,324,081
  5. Step 5: Solve for x
    x = 324,324,081/11,760
  6. Step 6: Final answer
    x = 27,578.58

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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.