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Finding the Third Proportional to 27,108 and 38,124

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Solution

The third proportional to 27,108 and 38,124 is: 53,616.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,108 : 38,124 = 38,124 : x
  2. Step 2: Convert to fraction form
    27,108/38,124 = 38,124/x
  3. Step 3: Cross multiply
    27,108x = 38,124 × 38,124
  4. Step 4: Simplify right side
    27,108x = 1,453,439,376
  5. Step 5: Solve for x
    x = 1,453,439,376/27,108
  6. Step 6: Final answer
    x = 53,616.62

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.