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Finding the Third Proportional to 18,986 and 41,606

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Solution

The third proportional to 18,986 and 41,606 is: 91,175.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,986 : 41,606 = 41,606 : x
  2. Step 2: Convert to fraction form
    18,986/41,606 = 41,606/x
  3. Step 3: Cross multiply
    18,986x = 41,606 × 41,606
  4. Step 4: Simplify right side
    18,986x = 1,731,059,236
  5. Step 5: Solve for x
    x = 1,731,059,236/18,986
  6. Step 6: Final answer
    x = 91,175.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.