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Finding the Third Proportional to 11,968 and 16,832

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Solution

The third proportional to 11,968 and 16,832 is: 23,672.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,968 : 16,832 = 16,832 : x
  2. Step 2: Convert to fraction form
    11,968/16,832 = 16,832/x
  3. Step 3: Cross multiply
    11,968x = 16,832 × 16,832
  4. Step 4: Simplify right side
    11,968x = 283,316,224
  5. Step 5: Solve for x
    x = 283,316,224/11,968
  6. Step 6: Final answer
    x = 23,672.81

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.