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Finding the Third Proportional to 11,568 and 27,225

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Solution

The third proportional to 11,568 and 27,225 is: 64,073.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,568 : 27,225 = 27,225 : x
  2. Step 2: Convert to fraction form
    11,568/27,225 = 27,225/x
  3. Step 3: Cross multiply
    11,568x = 27,225 × 27,225
  4. Step 4: Simplify right side
    11,568x = 741,200,625
  5. Step 5: Solve for x
    x = 741,200,625/11,568
  6. Step 6: Final answer
    x = 64,073.36

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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.