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Finding the Third Proportional to 27,211 and 38,517

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Solution

The third proportional to 27,211 and 38,517 is: 54,520.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,211 : 38,517 = 38,517 : x
  2. Step 2: Convert to fraction form
    27,211/38,517 = 38,517/x
  3. Step 3: Cross multiply
    27,211x = 38,517 × 38,517
  4. Step 4: Simplify right side
    27,211x = 1,483,559,289
  5. Step 5: Solve for x
    x = 1,483,559,289/27,211
  6. Step 6: Final answer
    x = 54,520.57

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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.