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Finding the Third Proportional to 11,074.75 and 17,765.26

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Solution

The third proportional to 11,074.75 and 17,765.26 is: 28,497.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,074.75 : 17,765.26 = 17,765.26 : x
  2. Step 2: Convert to fraction form
    11,074.75/17,765.26 = 17,765.26/x
  3. Step 3: Cross multiply
    11,074.75x = 17,765.26 × 17,765.26
  4. Step 4: Simplify right side
    11,074.75x = 315,604,523.94
  5. Step 5: Solve for x
    x = 315,604,523.94/11,074.75
  6. Step 6: Final answer
    x = 28,497.68

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.