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Finding the Third Proportional to 11,265.75 and 17,435.25

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Solution

The third proportional to 11,265.75 and 17,435.25 is: 26,983.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,265.75 : 17,435.25 = 17,435.25 : x
  2. Step 2: Convert to fraction form
    11,265.75/17,435.25 = 17,435.25/x
  3. Step 3: Cross multiply
    11,265.75x = 17,435.25 × 17,435.25
  4. Step 4: Simplify right side
    11,265.75x = 303,987,942.56
  5. Step 5: Solve for x
    x = 303,987,942.56/11,265.75
  6. Step 6: Final answer
    x = 26,983.37

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.