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Finding the Third Proportional to 817.59 and 1,789.59

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Solution

The third proportional to 817.59 and 1,789.59 is: 3,917.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.59 : 1,789.59 = 1,789.59 : x
  2. Step 2: Convert to fraction form
    817.59/1,789.59 = 1,789.59/x
  3. Step 3: Cross multiply
    817.59x = 1,789.59 × 1,789.59
  4. Step 4: Simplify right side
    817.59x = 3,202,645.79
  5. Step 5: Solve for x
    x = 3,202,645.79/817.59
  6. Step 6: Final answer
    x = 3,917.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.