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Finding the Third Proportional to 11,992 and 17,865

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Solution

The third proportional to 11,992 and 17,865 is: 26,614.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,992 : 17,865 = 17,865 : x
  2. Step 2: Convert to fraction form
    11,992/17,865 = 17,865/x
  3. Step 3: Cross multiply
    11,992x = 17,865 × 17,865
  4. Step 4: Simplify right side
    11,992x = 319,158,225
  5. Step 5: Solve for x
    x = 319,158,225/11,992
  6. Step 6: Final answer
    x = 26,614.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.