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Finding the Third Proportional to 11,798 and 18,107

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Solution

The third proportional to 11,798 and 18,107 is: 27,789.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,798 : 18,107 = 18,107 : x
  2. Step 2: Convert to fraction form
    11,798/18,107 = 18,107/x
  3. Step 3: Cross multiply
    11,798x = 18,107 × 18,107
  4. Step 4: Simplify right side
    11,798x = 327,863,449
  5. Step 5: Solve for x
    x = 327,863,449/11,798
  6. Step 6: Final answer
    x = 27,789.75

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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.