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Finding the Third Proportional to 27,166 and 39,936

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Solution

The third proportional to 27,166 and 39,936 is: 58,708.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,166 : 39,936 = 39,936 : x
  2. Step 2: Convert to fraction form
    27,166/39,936 = 39,936/x
  3. Step 3: Cross multiply
    27,166x = 39,936 × 39,936
  4. Step 4: Simplify right side
    27,166x = 1,594,884,096
  5. Step 5: Solve for x
    x = 1,594,884,096/27,166
  6. Step 6: Final answer
    x = 58,708.83

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.