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Finding the Third Proportional to 11,968 and 18,636

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Solution

The third proportional to 11,968 and 18,636 is: 29,019.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,968 : 18,636 = 18,636 : x
  2. Step 2: Convert to fraction form
    11,968/18,636 = 18,636/x
  3. Step 3: Cross multiply
    11,968x = 18,636 × 18,636
  4. Step 4: Simplify right side
    11,968x = 347,300,496
  5. Step 5: Solve for x
    x = 347,300,496/11,968
  6. Step 6: Final answer
    x = 29,019.09

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.