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Finding the Third Proportional to 2,146.03 and 3,321.19

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Solution

The third proportional to 2,146.03 and 3,321.19 is: 5,139.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,146.03 : 3,321.19 = 3,321.19 : x
  2. Step 2: Convert to fraction form
    2,146.03/3,321.19 = 3,321.19/x
  3. Step 3: Cross multiply
    2,146.03x = 3,321.19 × 3,321.19
  4. Step 4: Simplify right side
    2,146.03x = 11,030,286.41
  5. Step 5: Solve for x
    x = 11,030,286.41/2,146.03
  6. Step 6: Final answer
    x = 5,139.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.