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Finding the Third Proportional to 11,754 and 18,192

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Solution

The third proportional to 11,754 and 18,192 is: 28,156.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,754 : 18,192 = 18,192 : x
  2. Step 2: Convert to fraction form
    11,754/18,192 = 18,192/x
  3. Step 3: Cross multiply
    11,754x = 18,192 × 18,192
  4. Step 4: Simplify right side
    11,754x = 330,948,864
  5. Step 5: Solve for x
    x = 330,948,864/11,754
  6. Step 6: Final answer
    x = 28,156.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.