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Finding the Third Proportional to 791.23 and 1,764.49

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Solution

The third proportional to 791.23 and 1,764.49 is: 3,934.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.23 : 1,764.49 = 1,764.49 : x
  2. Step 2: Convert to fraction form
    791.23/1,764.49 = 1,764.49/x
  3. Step 3: Cross multiply
    791.23x = 1,764.49 × 1,764.49
  4. Step 4: Simplify right side
    791.23x = 3,113,432.68
  5. Step 5: Solve for x
    x = 3,113,432.68/791.23
  6. Step 6: Final answer
    x = 3,934.94

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.