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Finding the Third Proportional to 842.91 and 2,006.86

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Solution

The third proportional to 842.91 and 2,006.86 is: 4,778.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.91 : 2,006.86 = 2,006.86 : x
  2. Step 2: Convert to fraction form
    842.91/2,006.86 = 2,006.86/x
  3. Step 3: Cross multiply
    842.91x = 2,006.86 × 2,006.86
  4. Step 4: Simplify right side
    842.91x = 4,027,484.55
  5. Step 5: Solve for x
    x = 4,027,484.55/842.91
  6. Step 6: Final answer
    x = 4,778.09

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.