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Finding the Third Proportional to 2,791.09 and 5,986.90

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Solution

The third proportional to 2,791.09 and 5,986.90 is: 12,841.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,791.09 : 5,986.90 = 5,986.90 : x
  2. Step 2: Convert to fraction form
    2,791.09/5,986.90 = 5,986.90/x
  3. Step 3: Cross multiply
    2,791.09x = 5,986.90 × 5,986.90
  4. Step 4: Simplify right side
    2,791.09x = 35,842,979.21
  5. Step 5: Solve for x
    x = 35,842,979.21/2,791.09
  6. Step 6: Final answer
    x = 12,841.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.