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Finding the Third Proportional to 2,067.88 and 4,500.25

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Solution

The third proportional to 2,067.88 and 4,500.25 is: 9,793.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,067.88 : 4,500.25 = 4,500.25 : x
  2. Step 2: Convert to fraction form
    2,067.88/4,500.25 = 4,500.25/x
  3. Step 3: Cross multiply
    2,067.88x = 4,500.25 × 4,500.25
  4. Step 4: Simplify right side
    2,067.88x = 20,252,250.06
  5. Step 5: Solve for x
    x = 20,252,250.06/2,067.88
  6. Step 6: Final answer
    x = 9,793.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.