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Finding the Third Proportional to 2,797.82 and 5,864.75

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Solution

The third proportional to 2,797.82 and 5,864.75 is: 12,293.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,797.82 : 5,864.75 = 5,864.75 : x
  2. Step 2: Convert to fraction form
    2,797.82/5,864.75 = 5,864.75/x
  3. Step 3: Cross multiply
    2,797.82x = 5,864.75 × 5,864.75
  4. Step 4: Simplify right side
    2,797.82x = 34,395,269.65
  5. Step 5: Solve for x
    x = 34,395,269.65/2,797.82
  6. Step 6: Final answer
    x = 12,293.59

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.