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Finding the Third Proportional to 3,673.44 and 5,518.27

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Solution

The third proportional to 3,673.44 and 5,518.27 is: 8,289.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,673.44 : 5,518.27 = 5,518.27 : x
  2. Step 2: Convert to fraction form
    3,673.44/5,518.27 = 5,518.27/x
  3. Step 3: Cross multiply
    3,673.44x = 5,518.27 × 5,518.27
  4. Step 4: Simplify right side
    3,673.44x = 30,451,347.20
  5. Step 5: Solve for x
    x = 30,451,347.20/3,673.44
  6. Step 6: Final answer
    x = 8,289.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.