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Finding the Third Proportional to 11,910 and 17,843

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Solution

The third proportional to 11,910 and 17,843 is: 26,731.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,910 : 17,843 = 17,843 : x
  2. Step 2: Convert to fraction form
    11,910/17,843 = 17,843/x
  3. Step 3: Cross multiply
    11,910x = 17,843 × 17,843
  4. Step 4: Simplify right side
    11,910x = 318,372,649
  5. Step 5: Solve for x
    x = 318,372,649/11,910
  6. Step 6: Final answer
    x = 26,731.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.