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Finding the Third Proportional to 5,934 and 13,182

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Solution

The third proportional to 5,934 and 13,182 is: 29,282.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,934 : 13,182 = 13,182 : x
  2. Step 2: Convert to fraction form
    5,934/13,182 = 13,182/x
  3. Step 3: Cross multiply
    5,934x = 13,182 × 13,182
  4. Step 4: Simplify right side
    5,934x = 173,765,124
  5. Step 5: Solve for x
    x = 173,765,124/5,934
  6. Step 6: Final answer
    x = 29,282.97

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.