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Finding the Third Proportional to 11,840 and 27,936

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Solution

The third proportional to 11,840 and 27,936 is: 65,913.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,840 : 27,936 = 27,936 : x
  2. Step 2: Convert to fraction form
    11,840/27,936 = 27,936/x
  3. Step 3: Cross multiply
    11,840x = 27,936 × 27,936
  4. Step 4: Simplify right side
    11,840x = 780,420,096
  5. Step 5: Solve for x
    x = 780,420,096/11,840
  6. Step 6: Final answer
    x = 65,913.86

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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.