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Finding the Third Proportional to 20,747 and 27,885

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Solution

The third proportional to 20,747 and 27,885 is: 37,478.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,747 : 27,885 = 27,885 : x
  2. Step 2: Convert to fraction form
    20,747/27,885 = 27,885/x
  3. Step 3: Cross multiply
    20,747x = 27,885 × 27,885
  4. Step 4: Simplify right side
    20,747x = 777,573,225
  5. Step 5: Solve for x
    x = 777,573,225/20,747
  6. Step 6: Final answer
    x = 37,478.83

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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.