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Finding the Third Proportional to 4,198.50 and 6,138.56

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Solution

The third proportional to 4,198.50 and 6,138.56 is: 8,975.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,198.50 : 6,138.56 = 6,138.56 : x
  2. Step 2: Convert to fraction form
    4,198.50/6,138.56 = 6,138.56/x
  3. Step 3: Cross multiply
    4,198.50x = 6,138.56 × 6,138.56
  4. Step 4: Simplify right side
    4,198.50x = 37,681,949.57
  5. Step 5: Solve for x
    x = 37,681,949.57/4,198.50
  6. Step 6: Final answer
    x = 8,975.10

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.