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Finding the Third Proportional to 842.92 and 1,853.14

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Solution

The third proportional to 842.92 and 1,853.14 is: 4,074.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.92 : 1,853.14 = 1,853.14 : x
  2. Step 2: Convert to fraction form
    842.92/1,853.14 = 1,853.14/x
  3. Step 3: Cross multiply
    842.92x = 1,853.14 × 1,853.14
  4. Step 4: Simplify right side
    842.92x = 3,434,122.94
  5. Step 5: Solve for x
    x = 3,434,122.94/842.92
  6. Step 6: Final answer
    x = 4,074.06

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.