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Finding the Third Proportional to 8,311 and 12,193

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Solution

The third proportional to 8,311 and 12,193 is: 17,888.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,311 : 12,193 = 12,193 : x
  2. Step 2: Convert to fraction form
    8,311/12,193 = 12,193/x
  3. Step 3: Cross multiply
    8,311x = 12,193 × 12,193
  4. Step 4: Simplify right side
    8,311x = 148,669,249
  5. Step 5: Solve for x
    x = 148,669,249/8,311
  6. Step 6: Final answer
    x = 17,888.25

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.