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Finding the Third Proportional to 2,701.69 and 5,923.97

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Solution

The third proportional to 2,701.69 and 5,923.97 is: 12,989.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,701.69 : 5,923.97 = 5,923.97 : x
  2. Step 2: Convert to fraction form
    2,701.69/5,923.97 = 5,923.97/x
  3. Step 3: Cross multiply
    2,701.69x = 5,923.97 × 5,923.97
  4. Step 4: Simplify right side
    2,701.69x = 35,093,405.75
  5. Step 5: Solve for x
    x = 35,093,405.75/2,701.69
  6. Step 6: Final answer
    x = 12,989.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.