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Finding the Third Proportional to 11,135.25 and 17,757

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Solution

The third proportional to 11,135.25 and 17,757 is: 28,316.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,135.25 : 17,757 = 17,757 : x
  2. Step 2: Convert to fraction form
    11,135.25/17,757 = 17,757/x
  3. Step 3: Cross multiply
    11,135.25x = 17,757 × 17,757
  4. Step 4: Simplify right side
    11,135.25x = 315,311,049
  5. Step 5: Solve for x
    x = 315,311,049/11,135.25
  6. Step 6: Final answer
    x = 28,316.48

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.