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Finding the Third Proportional to 16,097 and 33,163

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Solution

The third proportional to 16,097 and 33,163 is: 68,322.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,097 : 33,163 = 33,163 : x
  2. Step 2: Convert to fraction form
    16,097/33,163 = 33,163/x
  3. Step 3: Cross multiply
    16,097x = 33,163 × 33,163
  4. Step 4: Simplify right side
    16,097x = 1,099,784,569
  5. Step 5: Solve for x
    x = 1,099,784,569/16,097
  6. Step 6: Final answer
    x = 68,322.33

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.