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Finding the Third Proportional to 18,930 and 41,622

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Solution

The third proportional to 18,930 and 41,622 is: 91,515.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,930 : 41,622 = 41,622 : x
  2. Step 2: Convert to fraction form
    18,930/41,622 = 41,622/x
  3. Step 3: Cross multiply
    18,930x = 41,622 × 41,622
  4. Step 4: Simplify right side
    18,930x = 1,732,390,884
  5. Step 5: Solve for x
    x = 1,732,390,884/18,930
  6. Step 6: Final answer
    x = 91,515.63

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.