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Finding the Third Proportional to 5,978 and 8,362

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Solution

The third proportional to 5,978 and 8,362 is: 11,696.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,978 : 8,362 = 8,362 : x
  2. Step 2: Convert to fraction form
    5,978/8,362 = 8,362/x
  3. Step 3: Cross multiply
    5,978x = 8,362 × 8,362
  4. Step 4: Simplify right side
    5,978x = 69,923,044
  5. Step 5: Solve for x
    x = 69,923,044/5,978
  6. Step 6: Final answer
    x = 11,696.73

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.