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Finding the Third Proportional to 842.44 and 1,726.69

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Solution

The third proportional to 842.44 and 1,726.69 is: 3,539.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.44 : 1,726.69 = 1,726.69 : x
  2. Step 2: Convert to fraction form
    842.44/1,726.69 = 1,726.69/x
  3. Step 3: Cross multiply
    842.44x = 1,726.69 × 1,726.69
  4. Step 4: Simplify right side
    842.44x = 2,981,449.72
  5. Step 5: Solve for x
    x = 2,981,449.72/842.44
  6. Step 6: Final answer
    x = 3,539.08

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.