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Finding the Third Proportional to 3,121.03 and 4,123.41

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Solution

The third proportional to 3,121.03 and 4,123.41 is: 5,447.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,121.03 : 4,123.41 = 4,123.41 : x
  2. Step 2: Convert to fraction form
    3,121.03/4,123.41 = 4,123.41/x
  3. Step 3: Cross multiply
    3,121.03x = 4,123.41 × 4,123.41
  4. Step 4: Simplify right side
    3,121.03x = 17,002,479.10
  5. Step 5: Solve for x
    x = 17,002,479.10/3,121.03
  6. Step 6: Final answer
    x = 5,447.71

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