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Finding the Third Proportional to 20,745 and 27,882

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Solution

The third proportional to 20,745 and 27,882 is: 37,474.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,745 : 27,882 = 27,882 : x
  2. Step 2: Convert to fraction form
    20,745/27,882 = 27,882/x
  3. Step 3: Cross multiply
    20,745x = 27,882 × 27,882
  4. Step 4: Simplify right side
    20,745x = 777,405,924
  5. Step 5: Solve for x
    x = 777,405,924/20,745
  6. Step 6: Final answer
    x = 37,474.38

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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.