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Finding the Third Proportional to 2,067 and 4,523.25

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Solution

The third proportional to 2,067 and 4,523.25 is: 9,898.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,067 : 4,523.25 = 4,523.25 : x
  2. Step 2: Convert to fraction form
    2,067/4,523.25 = 4,523.25/x
  3. Step 3: Cross multiply
    2,067x = 4,523.25 × 4,523.25
  4. Step 4: Simplify right side
    2,067x = 20,459,790.56
  5. Step 5: Solve for x
    x = 20,459,790.56/2,067
  6. Step 6: Final answer
    x = 9,898.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.