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Finding the Third Proportional to 11,660 and 27,512

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Solution

The third proportional to 11,660 and 27,512 is: 64,915.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,660 : 27,512 = 27,512 : x
  2. Step 2: Convert to fraction form
    11,660/27,512 = 27,512/x
  3. Step 3: Cross multiply
    11,660x = 27,512 × 27,512
  4. Step 4: Simplify right side
    11,660x = 756,910,144
  5. Step 5: Solve for x
    x = 756,910,144/11,660
  6. Step 6: Final answer
    x = 64,915.11

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.