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Finding the Third Proportional to 27,048 and 36,392

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Solution

The third proportional to 27,048 and 36,392 is: 48,963.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,048 : 36,392 = 36,392 : x
  2. Step 2: Convert to fraction form
    27,048/36,392 = 36,392/x
  3. Step 3: Cross multiply
    27,048x = 36,392 × 36,392
  4. Step 4: Simplify right side
    27,048x = 1,324,377,664
  5. Step 5: Solve for x
    x = 1,324,377,664/27,048
  6. Step 6: Final answer
    x = 48,963.98

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.