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Finding the Third Proportional to 16,761 and 33,099

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Solution

The third proportional to 16,761 and 33,099 is: 65,362.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,761 : 33,099 = 33,099 : x
  2. Step 2: Convert to fraction form
    16,761/33,099 = 33,099/x
  3. Step 3: Cross multiply
    16,761x = 33,099 × 33,099
  4. Step 4: Simplify right side
    16,761x = 1,095,543,801
  5. Step 5: Solve for x
    x = 1,095,543,801/16,761
  6. Step 6: Final answer
    x = 65,362.68

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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.