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Finding the Third Proportional to 7,756 and 11,864

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Solution

The third proportional to 7,756 and 11,864 is: 18,147.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,756 : 11,864 = 11,864 : x
  2. Step 2: Convert to fraction form
    7,756/11,864 = 11,864/x
  3. Step 3: Cross multiply
    7,756x = 11,864 × 11,864
  4. Step 4: Simplify right side
    7,756x = 140,754,496
  5. Step 5: Solve for x
    x = 140,754,496/7,756
  6. Step 6: Final answer
    x = 18,147.82

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.