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Finding the Third Proportional to 732.80 and 1,613.67

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Solution

The third proportional to 732.80 and 1,613.67 is: 3,553.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.80 : 1,613.67 = 1,613.67 : x
  2. Step 2: Convert to fraction form
    732.80/1,613.67 = 1,613.67/x
  3. Step 3: Cross multiply
    732.80x = 1,613.67 × 1,613.67
  4. Step 4: Simplify right side
    732.80x = 2,603,936.92
  5. Step 5: Solve for x
    x = 2,603,936.92/732.80
  6. Step 6: Final answer
    x = 3,553.42

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.