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Finding the Third Proportional to 3,311.63 and 7,238.44

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Solution

The third proportional to 3,311.63 and 7,238.44 is: 15,821.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,311.63 : 7,238.44 = 7,238.44 : x
  2. Step 2: Convert to fraction form
    3,311.63/7,238.44 = 7,238.44/x
  3. Step 3: Cross multiply
    3,311.63x = 7,238.44 × 7,238.44
  4. Step 4: Simplify right side
    3,311.63x = 52,394,977.44
  5. Step 5: Solve for x
    x = 52,394,977.44/3,311.63
  6. Step 6: Final answer
    x = 15,821.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.