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Finding the Third Proportional to 9,186 and 12,897

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Solution

The third proportional to 9,186 and 12,897 is: 18,107.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,186 : 12,897 = 12,897 : x
  2. Step 2: Convert to fraction form
    9,186/12,897 = 12,897/x
  3. Step 3: Cross multiply
    9,186x = 12,897 × 12,897
  4. Step 4: Simplify right side
    9,186x = 166,332,609
  5. Step 5: Solve for x
    x = 166,332,609/9,186
  6. Step 6: Final answer
    x = 18,107.19

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.