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Finding the Third Proportional to 2,884.68 and 6,791.66

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Solution

The third proportional to 2,884.68 and 6,791.66 is: 15,990.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,884.68 : 6,791.66 = 6,791.66 : x
  2. Step 2: Convert to fraction form
    2,884.68/6,791.66 = 6,791.66/x
  3. Step 3: Cross multiply
    2,884.68x = 6,791.66 × 6,791.66
  4. Step 4: Simplify right side
    2,884.68x = 46,126,647.68
  5. Step 5: Solve for x
    x = 46,126,647.68/2,884.68
  6. Step 6: Final answer
    x = 15,990.24

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.