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Finding the Third Proportional to 3,201.50 and 4,228.50

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Solution

The third proportional to 3,201.50 and 4,228.50 is: 5,584.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,201.50 : 4,228.50 = 4,228.50 : x
  2. Step 2: Convert to fraction form
    3,201.50/4,228.50 = 4,228.50/x
  3. Step 3: Cross multiply
    3,201.50x = 4,228.50 × 4,228.50
  4. Step 4: Simplify right side
    3,201.50x = 17,880,212.25
  5. Step 5: Solve for x
    x = 17,880,212.25/3,201.50
  6. Step 6: Final answer
    x = 5,584.95

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.