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Finding the Third Proportional to 27,111 and 36,936

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Solution

The third proportional to 27,111 and 36,936 is: 50,321.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,111 : 36,936 = 36,936 : x
  2. Step 2: Convert to fraction form
    27,111/36,936 = 36,936/x
  3. Step 3: Cross multiply
    27,111x = 36,936 × 36,936
  4. Step 4: Simplify right side
    27,111x = 1,364,268,096
  5. Step 5: Solve for x
    x = 1,364,268,096/27,111
  6. Step 6: Final answer
    x = 50,321.57

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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.