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Finding the Third Proportional to 3,229.88 and 7,114.08

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Solution

The third proportional to 3,229.88 and 7,114.08 is: 15,669.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,229.88 : 7,114.08 = 7,114.08 : x
  2. Step 2: Convert to fraction form
    3,229.88/7,114.08 = 7,114.08/x
  3. Step 3: Cross multiply
    3,229.88x = 7,114.08 × 7,114.08
  4. Step 4: Simplify right side
    3,229.88x = 50,610,107.57
  5. Step 5: Solve for x
    x = 50,610,107.57/3,229.88
  6. Step 6: Final answer
    x = 15,669.37

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.