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Finding the Third Proportional to 27,939 and 37,966

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Solution

The third proportional to 27,939 and 37,966 is: 51,591.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,939 : 37,966 = 37,966 : x
  2. Step 2: Convert to fraction form
    27,939/37,966 = 37,966/x
  3. Step 3: Cross multiply
    27,939x = 37,966 × 37,966
  4. Step 4: Simplify right side
    27,939x = 1,441,417,156
  5. Step 5: Solve for x
    x = 1,441,417,156/27,939
  6. Step 6: Final answer
    x = 51,591.58

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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.