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Finding the Third Proportional to 842.91 and 2,202.19

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Solution

The third proportional to 842.91 and 2,202.19 is: 5,753.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.91 : 2,202.19 = 2,202.19 : x
  2. Step 2: Convert to fraction form
    842.91/2,202.19 = 2,202.19/x
  3. Step 3: Cross multiply
    842.91x = 2,202.19 × 2,202.19
  4. Step 4: Simplify right side
    842.91x = 4,849,629.79
  5. Step 5: Solve for x
    x = 4,849,629.79/842.91
  6. Step 6: Final answer
    x = 5,753.46

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Why These Related Problems?

These problems maintain the same ratio (2.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.