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Finding the Third Proportional to 6,936 and 16,016

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Solution

The third proportional to 6,936 and 16,016 is: 36,982.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,936 : 16,016 = 16,016 : x
  2. Step 2: Convert to fraction form
    6,936/16,016 = 16,016/x
  3. Step 3: Cross multiply
    6,936x = 16,016 × 16,016
  4. Step 4: Simplify right side
    6,936x = 256,512,256
  5. Step 5: Solve for x
    x = 256,512,256/6,936
  6. Step 6: Final answer
    x = 36,982.74

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.