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Finding the Third Proportional to 11,976 and 27,892

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Solution

The third proportional to 11,976 and 27,892 is: 64,960.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,976 : 27,892 = 27,892 : x
  2. Step 2: Convert to fraction form
    11,976/27,892 = 27,892/x
  3. Step 3: Cross multiply
    11,976x = 27,892 × 27,892
  4. Step 4: Simplify right side
    11,976x = 777,963,664
  5. Step 5: Solve for x
    x = 777,963,664/11,976
  6. Step 6: Final answer
    x = 64,960.23

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.