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Finding the Third Proportional to 8,282 and 18,116

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Solution

The third proportional to 8,282 and 18,116 is: 39,626.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,282 : 18,116 = 18,116 : x
  2. Step 2: Convert to fraction form
    8,282/18,116 = 18,116/x
  3. Step 3: Cross multiply
    8,282x = 18,116 × 18,116
  4. Step 4: Simplify right side
    8,282x = 328,189,456
  5. Step 5: Solve for x
    x = 328,189,456/8,282
  6. Step 6: Final answer
    x = 39,626.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.