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Finding the Third Proportional to 8,351 and 17,011

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Solution

The third proportional to 8,351 and 17,011 is: 34,651.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,351 : 17,011 = 17,011 : x
  2. Step 2: Convert to fraction form
    8,351/17,011 = 17,011/x
  3. Step 3: Cross multiply
    8,351x = 17,011 × 17,011
  4. Step 4: Simplify right side
    8,351x = 289,374,121
  5. Step 5: Solve for x
    x = 289,374,121/8,351
  6. Step 6: Final answer
    x = 34,651.43

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.