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Finding the Third Proportional to 2,282.91 and 3,093.61

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Solution

The third proportional to 2,282.91 and 3,093.61 is: 4,192.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,282.91 : 3,093.61 = 3,093.61 : x
  2. Step 2: Convert to fraction form
    2,282.91/3,093.61 = 3,093.61/x
  3. Step 3: Cross multiply
    2,282.91x = 3,093.61 × 3,093.61
  4. Step 4: Simplify right side
    2,282.91x = 9,570,418.97
  5. Step 5: Solve for x
    x = 9,570,418.97/2,282.91
  6. Step 6: Final answer
    x = 4,192.21

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.