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Finding the Third Proportional to 794.50 and 1,691.51

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Solution

The third proportional to 794.50 and 1,691.51 is: 3,601.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.50 : 1,691.51 = 1,691.51 : x
  2. Step 2: Convert to fraction form
    794.50/1,691.51 = 1,691.51/x
  3. Step 3: Cross multiply
    794.50x = 1,691.51 × 1,691.51
  4. Step 4: Simplify right side
    794.50x = 2,861,198.68
  5. Step 5: Solve for x
    x = 2,861,198.68/794.50
  6. Step 6: Final answer
    x = 3,601.27

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.