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Finding the Third Proportional to 839.11 and 1,266.26

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Solution

The third proportional to 839.11 and 1,266.26 is: 1,910.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.11 : 1,266.26 = 1,266.26 : x
  2. Step 2: Convert to fraction form
    839.11/1,266.26 = 1,266.26/x
  3. Step 3: Cross multiply
    839.11x = 1,266.26 × 1,266.26
  4. Step 4: Simplify right side
    839.11x = 1,603,408.85
  5. Step 5: Solve for x
    x = 1,603,408.85/839.11
  6. Step 6: Final answer
    x = 1,910.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.