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Finding the Third Proportional to 3,201.75 and 4,868.44

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Solution

The third proportional to 3,201.75 and 4,868.44 is: 7,402.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,201.75 : 4,868.44 = 4,868.44 : x
  2. Step 2: Convert to fraction form
    3,201.75/4,868.44 = 4,868.44/x
  3. Step 3: Cross multiply
    3,201.75x = 4,868.44 × 4,868.44
  4. Step 4: Simplify right side
    3,201.75x = 23,701,683.69
  5. Step 5: Solve for x
    x = 23,701,683.69/3,201.75
  6. Step 6: Final answer
    x = 7,402.73

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.