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Finding the Third Proportional to 27,938 and 37,965

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Solution

The third proportional to 27,938 and 37,965 is: 51,590.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,938 : 37,965 = 37,965 : x
  2. Step 2: Convert to fraction form
    27,938/37,965 = 37,965/x
  3. Step 3: Cross multiply
    27,938x = 37,965 × 37,965
  4. Step 4: Simplify right side
    27,938x = 1,441,341,225
  5. Step 5: Solve for x
    x = 1,441,341,225/27,938
  6. Step 6: Final answer
    x = 51,590.71

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.