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Finding the Third Proportional to 7,571.25 and 11,493.56

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Solution

The third proportional to 7,571.25 and 11,493.56 is: 17,447.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,571.25 : 11,493.56 = 11,493.56 : x
  2. Step 2: Convert to fraction form
    7,571.25/11,493.56 = 11,493.56/x
  3. Step 3: Cross multiply
    7,571.25x = 11,493.56 × 11,493.56
  4. Step 4: Simplify right side
    7,571.25x = 132,101,978.94
  5. Step 5: Solve for x
    x = 132,101,978.94/7,571.25
  6. Step 6: Final answer
    x = 17,447.84

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.