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Finding the Third Proportional to 5,468 and 11,978

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Solution

The third proportional to 5,468 and 11,978 is: 26,238.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,468 : 11,978 = 11,978 : x
  2. Step 2: Convert to fraction form
    5,468/11,978 = 11,978/x
  3. Step 3: Cross multiply
    5,468x = 11,978 × 11,978
  4. Step 4: Simplify right side
    5,468x = 143,472,484
  5. Step 5: Solve for x
    x = 143,472,484/5,468
  6. Step 6: Final answer
    x = 26,238.57

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.