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Finding the Third Proportional to 3,252.75 and 4,324.22

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Solution

The third proportional to 3,252.75 and 4,324.22 is: 5,748.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,252.75 : 4,324.22 = 4,324.22 : x
  2. Step 2: Convert to fraction form
    3,252.75/4,324.22 = 4,324.22/x
  3. Step 3: Cross multiply
    3,252.75x = 4,324.22 × 4,324.22
  4. Step 4: Simplify right side
    3,252.75x = 18,698,867.80
  5. Step 5: Solve for x
    x = 18,698,867.80/3,252.75
  6. Step 6: Final answer
    x = 5,748.63

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.