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Finding the Third Proportional to 3,696.19 and 5,198.63

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Solution

The third proportional to 3,696.19 and 5,198.63 is: 7,311.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,696.19 : 5,198.63 = 5,198.63 : x
  2. Step 2: Convert to fraction form
    3,696.19/5,198.63 = 5,198.63/x
  3. Step 3: Cross multiply
    3,696.19x = 5,198.63 × 5,198.63
  4. Step 4: Simplify right side
    3,696.19x = 27,025,701.89
  5. Step 5: Solve for x
    x = 27,025,701.89/3,696.19
  6. Step 6: Final answer
    x = 7,311.78

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.