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Finding the Third Proportional to 3,206 and 4,812

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Solution

The third proportional to 3,206 and 4,812 is: 7,222.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,206 : 4,812 = 4,812 : x
  2. Step 2: Convert to fraction form
    3,206/4,812 = 4,812/x
  3. Step 3: Cross multiply
    3,206x = 4,812 × 4,812
  4. Step 4: Simplify right side
    3,206x = 23,155,344
  5. Step 5: Solve for x
    x = 23,155,344/3,206
  6. Step 6: Final answer
    x = 7,222.50

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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.