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Finding the Third Proportional to 842.27 and 1,718.09

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Solution

The third proportional to 842.27 and 1,718.09 is: 3,504.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.27 : 1,718.09 = 1,718.09 : x
  2. Step 2: Convert to fraction form
    842.27/1,718.09 = 1,718.09/x
  3. Step 3: Cross multiply
    842.27x = 1,718.09 × 1,718.09
  4. Step 4: Simplify right side
    842.27x = 2,951,819.29
  5. Step 5: Solve for x
    x = 2,951,819.29/842.27
  6. Step 6: Final answer
    x = 3,504.59

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.