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Finding the Third Proportional to 791.38 and 1,633.34

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Solution

The third proportional to 791.38 and 1,633.34 is: 3,371.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.38 : 1,633.34 = 1,633.34 : x
  2. Step 2: Convert to fraction form
    791.38/1,633.34 = 1,633.34/x
  3. Step 3: Cross multiply
    791.38x = 1,633.34 × 1,633.34
  4. Step 4: Simplify right side
    791.38x = 2,667,811.81
  5. Step 5: Solve for x
    x = 2,667,811.81/791.38
  6. Step 6: Final answer
    x = 3,371.11

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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.