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Finding the Third Proportional to 27,384 and 38,793

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Solution

The third proportional to 27,384 and 38,793 is: 54,955.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,384 : 38,793 = 38,793 : x
  2. Step 2: Convert to fraction form
    27,384/38,793 = 38,793/x
  3. Step 3: Cross multiply
    27,384x = 38,793 × 38,793
  4. Step 4: Simplify right side
    27,384x = 1,504,896,849
  5. Step 5: Solve for x
    x = 1,504,896,849/27,384
  6. Step 6: Final answer
    x = 54,955.33

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.