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Finding the Third Proportional to 11,936 and 27,872

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Solution

The third proportional to 11,936 and 27,872 is: 65,084.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,936 : 27,872 = 27,872 : x
  2. Step 2: Convert to fraction form
    11,936/27,872 = 27,872/x
  3. Step 3: Cross multiply
    11,936x = 27,872 × 27,872
  4. Step 4: Simplify right side
    11,936x = 776,848,384
  5. Step 5: Solve for x
    x = 776,848,384/11,936
  6. Step 6: Final answer
    x = 65,084.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.