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Finding the Third Proportional to 3,846.94 and 5,442.19

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Solution

The third proportional to 3,846.94 and 5,442.19 is: 7,698.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,846.94 : 5,442.19 = 5,442.19 : x
  2. Step 2: Convert to fraction form
    3,846.94/5,442.19 = 5,442.19/x
  3. Step 3: Cross multiply
    3,846.94x = 5,442.19 × 5,442.19
  4. Step 4: Simplify right side
    3,846.94x = 29,617,404.79
  5. Step 5: Solve for x
    x = 29,617,404.79/3,846.94
  6. Step 6: Final answer
    x = 7,698.96

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.