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Finding the Third Proportional to 3,091.13 and 6,797.36

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Solution

The third proportional to 3,091.13 and 6,797.36 is: 14,947.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,091.13 : 6,797.36 = 6,797.36 : x
  2. Step 2: Convert to fraction form
    3,091.13/6,797.36 = 6,797.36/x
  3. Step 3: Cross multiply
    3,091.13x = 6,797.36 × 6,797.36
  4. Step 4: Simplify right side
    3,091.13x = 46,204,041.37
  5. Step 5: Solve for x
    x = 46,204,041.37/3,091.13
  6. Step 6: Final answer
    x = 14,947.29

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.