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Finding the Third Proportional to 27,234 and 38,538

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Solution

The third proportional to 27,234 and 38,538 is: 54,533.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,234 : 38,538 = 38,538 : x
  2. Step 2: Convert to fraction form
    27,234/38,538 = 38,538/x
  3. Step 3: Cross multiply
    27,234x = 38,538 × 38,538
  4. Step 4: Simplify right side
    27,234x = 1,485,177,444
  5. Step 5: Solve for x
    x = 1,485,177,444/27,234
  6. Step 6: Final answer
    x = 54,533.94

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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.