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Finding the Third Proportional to 7,839 and 9,936

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Solution

The third proportional to 7,839 and 9,936 is: 12,593.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,839 : 9,936 = 9,936 : x
  2. Step 2: Convert to fraction form
    7,839/9,936 = 9,936/x
  3. Step 3: Cross multiply
    7,839x = 9,936 × 9,936
  4. Step 4: Simplify right side
    7,839x = 98,724,096
  5. Step 5: Solve for x
    x = 98,724,096/7,839
  6. Step 6: Final answer
    x = 12,593.97

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.