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Finding the Third Proportional to 791.75 and 1,718.38

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Solution

The third proportional to 791.75 and 1,718.38 is: 3,729.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.75 : 1,718.38 = 1,718.38 : x
  2. Step 2: Convert to fraction form
    791.75/1,718.38 = 1,718.38/x
  3. Step 3: Cross multiply
    791.75x = 1,718.38 × 1,718.38
  4. Step 4: Simplify right side
    791.75x = 2,952,812.64
  5. Step 5: Solve for x
    x = 2,952,812.64/791.75
  6. Step 6: Final answer
    x = 3,729.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.