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Finding the Third Proportional to 27,794 and 41,615

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Solution

The third proportional to 27,794 and 41,615 is: 62,308.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,794 : 41,615 = 41,615 : x
  2. Step 2: Convert to fraction form
    27,794/41,615 = 41,615/x
  3. Step 3: Cross multiply
    27,794x = 41,615 × 41,615
  4. Step 4: Simplify right side
    27,794x = 1,731,808,225
  5. Step 5: Solve for x
    x = 1,731,808,225/27,794
  6. Step 6: Final answer
    x = 62,308.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.