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Finding the Third Proportional to 16,530 and 33,940

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Solution

The third proportional to 16,530 and 33,940 is: 69,686.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,530 : 33,940 = 33,940 : x
  2. Step 2: Convert to fraction form
    16,530/33,940 = 33,940/x
  3. Step 3: Cross multiply
    16,530x = 33,940 × 33,940
  4. Step 4: Simplify right side
    16,530x = 1,151,923,600
  5. Step 5: Solve for x
    x = 1,151,923,600/16,530
  6. Step 6: Final answer
    x = 69,686.85

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.