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Finding the Third Proportional to 11,967 and 21,936

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Solution

The third proportional to 11,967 and 21,936 is: 40,209.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,967 : 21,936 = 21,936 : x
  2. Step 2: Convert to fraction form
    11,967/21,936 = 21,936/x
  3. Step 3: Cross multiply
    11,967x = 21,936 × 21,936
  4. Step 4: Simplify right side
    11,967x = 481,188,096
  5. Step 5: Solve for x
    x = 481,188,096/11,967
  6. Step 6: Final answer
    x = 40,209.58

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.