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Finding the Third Proportional to 27,336 and 57,936

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Solution

The third proportional to 27,336 and 57,936 is: 122,789.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,336 : 57,936 = 57,936 : x
  2. Step 2: Convert to fraction form
    27,336/57,936 = 57,936/x
  3. Step 3: Cross multiply
    27,336x = 57,936 × 57,936
  4. Step 4: Simplify right side
    27,336x = 3,356,580,096
  5. Step 5: Solve for x
    x = 3,356,580,096/27,336
  6. Step 6: Final answer
    x = 122,789.73

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.