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Finding the Third Proportional to 2,299.31 and 5,016.56

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Solution

The third proportional to 2,299.31 and 5,016.56 is: 10,944.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,299.31 : 5,016.56 = 5,016.56 : x
  2. Step 2: Convert to fraction form
    2,299.31/5,016.56 = 5,016.56/x
  3. Step 3: Cross multiply
    2,299.31x = 5,016.56 × 5,016.56
  4. Step 4: Simplify right side
    2,299.31x = 25,165,899.32
  5. Step 5: Solve for x
    x = 25,165,899.32/2,299.31
  6. Step 6: Final answer
    x = 10,944.97

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.