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Finding the Third Proportional to 8,250.75 and 11,755.69

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Solution

The third proportional to 8,250.75 and 11,755.69 is: 16,749.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,250.75 : 11,755.69 = 11,755.69 : x
  2. Step 2: Convert to fraction form
    8,250.75/11,755.69 = 11,755.69/x
  3. Step 3: Cross multiply
    8,250.75x = 11,755.69 × 11,755.69
  4. Step 4: Simplify right side
    8,250.75x = 138,196,188.60
  5. Step 5: Solve for x
    x = 138,196,188.60/8,250.75
  6. Step 6: Final answer
    x = 16,749.53

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.