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Finding the Third Proportional to 6,718 and 11,978

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Solution

The third proportional to 6,718 and 11,978 is: 21,356.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,718 : 11,978 = 11,978 : x
  2. Step 2: Convert to fraction form
    6,718/11,978 = 11,978/x
  3. Step 3: Cross multiply
    6,718x = 11,978 × 11,978
  4. Step 4: Simplify right side
    6,718x = 143,472,484
  5. Step 5: Solve for x
    x = 143,472,484/6,718
  6. Step 6: Final answer
    x = 21,356.43

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These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.