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Finding the Third Proportional to 11,489.81 and 17,568.75

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Solution

The third proportional to 11,489.81 and 17,568.75 is: 26,863.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,489.81 : 17,568.75 = 17,568.75 : x
  2. Step 2: Convert to fraction form
    11,489.81/17,568.75 = 17,568.75/x
  3. Step 3: Cross multiply
    11,489.81x = 17,568.75 × 17,568.75
  4. Step 4: Simplify right side
    11,489.81x = 308,660,976.56
  5. Step 5: Solve for x
    x = 308,660,976.56/11,489.81
  6. Step 6: Final answer
    x = 26,863.88

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.