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Finding the Third Proportional to 2,519.23 and 3,195.07

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Solution

The third proportional to 2,519.23 and 3,195.07 is: 4,052.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,519.23 : 3,195.07 = 3,195.07 : x
  2. Step 2: Convert to fraction form
    2,519.23/3,195.07 = 3,195.07/x
  3. Step 3: Cross multiply
    2,519.23x = 3,195.07 × 3,195.07
  4. Step 4: Simplify right side
    2,519.23x = 10,208,474.30
  5. Step 5: Solve for x
    x = 10,208,474.30/2,519.23
  6. Step 6: Final answer
    x = 4,052.23

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These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.