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Finding the Third Proportional to 3,022.31 and 6,172.03

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Solution

The third proportional to 3,022.31 and 6,172.03 is: 12,604.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,022.31 : 6,172.03 = 6,172.03 : x
  2. Step 2: Convert to fraction form
    3,022.31/6,172.03 = 6,172.03/x
  3. Step 3: Cross multiply
    3,022.31x = 6,172.03 × 6,172.03
  4. Step 4: Simplify right side
    3,022.31x = 38,093,969.75
  5. Step 5: Solve for x
    x = 38,093,969.75/3,022.31
  6. Step 6: Final answer
    x = 12,604.25

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.