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Finding the Third Proportional to 11,976 and 18,968

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Solution

The third proportional to 11,976 and 18,968 is: 30,042.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,976 : 18,968 = 18,968 : x
  2. Step 2: Convert to fraction form
    11,976/18,968 = 18,968/x
  3. Step 3: Cross multiply
    11,976x = 18,968 × 18,968
  4. Step 4: Simplify right side
    11,976x = 359,785,024
  5. Step 5: Solve for x
    x = 359,785,024/11,976
  6. Step 6: Final answer
    x = 30,042.17

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.