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Finding the Third Proportional to 803.67 and 1,743.61

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Solution

The third proportional to 803.67 and 1,743.61 is: 3,782.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.67 : 1,743.61 = 1,743.61 : x
  2. Step 2: Convert to fraction form
    803.67/1,743.61 = 1,743.61/x
  3. Step 3: Cross multiply
    803.67x = 1,743.61 × 1,743.61
  4. Step 4: Simplify right side
    803.67x = 3,040,173.65
  5. Step 5: Solve for x
    x = 3,040,173.65/803.67
  6. Step 6: Final answer
    x = 3,782.85

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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.