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Finding the Third Proportional to 19,162 and 41,699

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Solution

The third proportional to 19,162 and 41,699 is: 90,742.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,162 : 41,699 = 41,699 : x
  2. Step 2: Convert to fraction form
    19,162/41,699 = 41,699/x
  3. Step 3: Cross multiply
    19,162x = 41,699 × 41,699
  4. Step 4: Simplify right side
    19,162x = 1,738,806,601
  5. Step 5: Solve for x
    x = 1,738,806,601/19,162
  6. Step 6: Final answer
    x = 90,742.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.