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Finding the Third Proportional to 7,949 and 11,915

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Solution

The third proportional to 7,949 and 11,915 is: 17,859.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,949 : 11,915 = 11,915 : x
  2. Step 2: Convert to fraction form
    7,949/11,915 = 11,915/x
  3. Step 3: Cross multiply
    7,949x = 11,915 × 11,915
  4. Step 4: Simplify right side
    7,949x = 141,967,225
  5. Step 5: Solve for x
    x = 141,967,225/7,949
  6. Step 6: Final answer
    x = 17,859.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.