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Finding the Third Proportional to 11,976 and 26,256

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Solution

The third proportional to 11,976 and 26,256 is: 57,563.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,976 : 26,256 = 26,256 : x
  2. Step 2: Convert to fraction form
    11,976/26,256 = 26,256/x
  3. Step 3: Cross multiply
    11,976x = 26,256 × 26,256
  4. Step 4: Simplify right side
    11,976x = 689,377,536
  5. Step 5: Solve for x
    x = 689,377,536/11,976
  6. Step 6: Final answer
    x = 57,563.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.