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Finding the Third Proportional to 47,016 and 51,936

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Solution

The third proportional to 47,016 and 51,936 is: 57,370.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,016 : 51,936 = 51,936 : x
  2. Step 2: Convert to fraction form
    47,016/51,936 = 51,936/x
  3. Step 3: Cross multiply
    47,016x = 51,936 × 51,936
  4. Step 4: Simplify right side
    47,016x = 2,697,348,096
  5. Step 5: Solve for x
    x = 2,697,348,096/47,016
  6. Step 6: Final answer
    x = 57,370.85

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.