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Finding the Third Proportional to 8,107 and 11,897

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Solution

The third proportional to 8,107 and 11,897 is: 17,458.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,107 : 11,897 = 11,897 : x
  2. Step 2: Convert to fraction form
    8,107/11,897 = 11,897/x
  3. Step 3: Cross multiply
    8,107x = 11,897 × 11,897
  4. Step 4: Simplify right side
    8,107x = 141,538,609
  5. Step 5: Solve for x
    x = 141,538,609/8,107
  6. Step 6: Final answer
    x = 17,458.81

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.