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Finding the Third Proportional to 27,144 and 36,978

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Solution

The third proportional to 27,144 and 36,978 is: 50,374.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,144 : 36,978 = 36,978 : x
  2. Step 2: Convert to fraction form
    27,144/36,978 = 36,978/x
  3. Step 3: Cross multiply
    27,144x = 36,978 × 36,978
  4. Step 4: Simplify right side
    27,144x = 1,367,372,484
  5. Step 5: Solve for x
    x = 1,367,372,484/27,144
  6. Step 6: Final answer
    x = 50,374.76

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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.