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Finding the Third Proportional to 806.91 and 1,749.66

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Solution

The third proportional to 806.91 and 1,749.66 is: 3,793.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.91 : 1,749.66 = 1,749.66 : x
  2. Step 2: Convert to fraction form
    806.91/1,749.66 = 1,749.66/x
  3. Step 3: Cross multiply
    806.91x = 1,749.66 × 1,749.66
  4. Step 4: Simplify right side
    806.91x = 3,061,296.99
  5. Step 5: Solve for x
    x = 3,061,296.99/806.91
  6. Step 6: Final answer
    x = 3,793.87

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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.