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Finding the Third Proportional to 791.17 and 1,468.44

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Solution

The third proportional to 791.17 and 1,468.44 is: 2,725.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.17 : 1,468.44 = 1,468.44 : x
  2. Step 2: Convert to fraction form
    791.17/1,468.44 = 1,468.44/x
  3. Step 3: Cross multiply
    791.17x = 1,468.44 × 1,468.44
  4. Step 4: Simplify right side
    791.17x = 2,156,320.16
  5. Step 5: Solve for x
    x = 2,156,320.16/791.17
  6. Step 6: Final answer
    x = 2,725.47

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.