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Finding the Third Proportional to 5,723 and 8,193

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Solution

The third proportional to 5,723 and 8,193 is: 11,729.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,723 : 8,193 = 8,193 : x
  2. Step 2: Convert to fraction form
    5,723/8,193 = 8,193/x
  3. Step 3: Cross multiply
    5,723x = 8,193 × 8,193
  4. Step 4: Simplify right side
    5,723x = 67,125,249
  5. Step 5: Solve for x
    x = 67,125,249/5,723
  6. Step 6: Final answer
    x = 11,729.03

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.