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Finding the Third Proportional to 8,211 and 17,006

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Solution

The third proportional to 8,211 and 17,006 is: 35,221.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,211 : 17,006 = 17,006 : x
  2. Step 2: Convert to fraction form
    8,211/17,006 = 17,006/x
  3. Step 3: Cross multiply
    8,211x = 17,006 × 17,006
  4. Step 4: Simplify right side
    8,211x = 289,204,036
  5. Step 5: Solve for x
    x = 289,204,036/8,211
  6. Step 6: Final answer
    x = 35,221.54

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.