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Finding the Third Proportional to 19,638 and 27,615

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Solution

The third proportional to 19,638 and 27,615 is: 38,832.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,638 : 27,615 = 27,615 : x
  2. Step 2: Convert to fraction form
    19,638/27,615 = 27,615/x
  3. Step 3: Cross multiply
    19,638x = 27,615 × 27,615
  4. Step 4: Simplify right side
    19,638x = 762,588,225
  5. Step 5: Solve for x
    x = 762,588,225/19,638
  6. Step 6: Final answer
    x = 38,832.28

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.