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Finding the Third Proportional to 4,198.50 and 6,429.38

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Solution

The third proportional to 4,198.50 and 6,429.38 is: 9,845.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,198.50 : 6,429.38 = 6,429.38 : x
  2. Step 2: Convert to fraction form
    4,198.50/6,429.38 = 6,429.38/x
  3. Step 3: Cross multiply
    4,198.50x = 6,429.38 × 6,429.38
  4. Step 4: Simplify right side
    4,198.50x = 41,336,862.89
  5. Step 5: Solve for x
    x = 41,336,862.89/4,198.50
  6. Step 6: Final answer
    x = 9,845.63

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.