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Finding the Third Proportional to 8,151.19 and 10,765.69

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Solution

The third proportional to 8,151.19 and 10,765.69 is: 14,218.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,151.19 : 10,765.69 = 10,765.69 : x
  2. Step 2: Convert to fraction form
    8,151.19/10,765.69 = 10,765.69/x
  3. Step 3: Cross multiply
    8,151.19x = 10,765.69 × 10,765.69
  4. Step 4: Simplify right side
    8,151.19x = 115,900,027.35
  5. Step 5: Solve for x
    x = 115,900,027.35/8,151.19
  6. Step 6: Final answer
    x = 14,218.79

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.