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Finding the Third Proportional to 2,651.91 and 4,104.42

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Solution

The third proportional to 2,651.91 and 4,104.42 is: 6,352.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,651.91 : 4,104.42 = 4,104.42 : x
  2. Step 2: Convert to fraction form
    2,651.91/4,104.42 = 4,104.42/x
  3. Step 3: Cross multiply
    2,651.91x = 4,104.42 × 4,104.42
  4. Step 4: Simplify right side
    2,651.91x = 16,846,278.93
  5. Step 5: Solve for x
    x = 16,846,278.93/2,651.91
  6. Step 6: Final answer
    x = 6,352.52

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.