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Finding the Third Proportional to 8,634 and 17,016

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Solution

The third proportional to 8,634 and 17,016 is: 33,535.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,634 : 17,016 = 17,016 : x
  2. Step 2: Convert to fraction form
    8,634/17,016 = 17,016/x
  3. Step 3: Cross multiply
    8,634x = 17,016 × 17,016
  4. Step 4: Simplify right side
    8,634x = 289,544,256
  5. Step 5: Solve for x
    x = 289,544,256/8,634
  6. Step 6: Final answer
    x = 33,535.36

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.