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Finding the Third Proportional to 11,832 and 18,159

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Solution

The third proportional to 11,832 and 18,159 is: 27,869.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,832 : 18,159 = 18,159 : x
  2. Step 2: Convert to fraction form
    11,832/18,159 = 18,159/x
  3. Step 3: Cross multiply
    11,832x = 18,159 × 18,159
  4. Step 4: Simplify right side
    11,832x = 329,749,281
  5. Step 5: Solve for x
    x = 329,749,281/11,832
  6. Step 6: Final answer
    x = 27,869.28

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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.