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Finding the Third Proportional to 18,537.75 and 27,108

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Solution

The third proportional to 18,537.75 and 27,108 is: 39,640.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,537.75 : 27,108 = 27,108 : x
  2. Step 2: Convert to fraction form
    18,537.75/27,108 = 27,108/x
  3. Step 3: Cross multiply
    18,537.75x = 27,108 × 27,108
  4. Step 4: Simplify right side
    18,537.75x = 734,843,664
  5. Step 5: Solve for x
    x = 734,843,664/18,537.75
  6. Step 6: Final answer
    x = 39,640.39

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.