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Finding the Third Proportional to 18,634 and 27,697

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Solution

The third proportional to 18,634 and 27,697 is: 41,167.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,634 : 27,697 = 27,697 : x
  2. Step 2: Convert to fraction form
    18,634/27,697 = 27,697/x
  3. Step 3: Cross multiply
    18,634x = 27,697 × 27,697
  4. Step 4: Simplify right side
    18,634x = 767,123,809
  5. Step 5: Solve for x
    x = 767,123,809/18,634
  6. Step 6: Final answer
    x = 41,167.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.