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Finding the Third Proportional to 20,234 and 27,039

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Solution

The third proportional to 20,234 and 27,039 is: 36,132.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,234 : 27,039 = 27,039 : x
  2. Step 2: Convert to fraction form
    20,234/27,039 = 27,039/x
  3. Step 3: Cross multiply
    20,234x = 27,039 × 27,039
  4. Step 4: Simplify right side
    20,234x = 731,107,521
  5. Step 5: Solve for x
    x = 731,107,521/20,234
  6. Step 6: Final answer
    x = 36,132.62

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.