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Finding the Third Proportional to 8,284 and 11,722

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Solution

The third proportional to 8,284 and 11,722 is: 16,586.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,284 : 11,722 = 11,722 : x
  2. Step 2: Convert to fraction form
    8,284/11,722 = 11,722/x
  3. Step 3: Cross multiply
    8,284x = 11,722 × 11,722
  4. Step 4: Simplify right side
    8,284x = 137,405,284
  5. Step 5: Solve for x
    x = 137,405,284/8,284
  6. Step 6: Final answer
    x = 16,586.83

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.