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Finding the Third Proportional to 792.70 and 1,743.61

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Solution

The third proportional to 792.70 and 1,743.61 is: 3,835.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.70 : 1,743.61 = 1,743.61 : x
  2. Step 2: Convert to fraction form
    792.70/1,743.61 = 1,743.61/x
  3. Step 3: Cross multiply
    792.70x = 1,743.61 × 1,743.61
  4. Step 4: Simplify right side
    792.70x = 3,040,173.65
  5. Step 5: Solve for x
    x = 3,040,173.65/792.70
  6. Step 6: Final answer
    x = 3,835.20

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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.