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Finding the Third Proportional to 19,183 and 41,693

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Solution

The third proportional to 19,183 and 41,693 is: 90,617.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,183 : 41,693 = 41,693 : x
  2. Step 2: Convert to fraction form
    19,183/41,693 = 41,693/x
  3. Step 3: Cross multiply
    19,183x = 41,693 × 41,693
  4. Step 4: Simplify right side
    19,183x = 1,738,306,249
  5. Step 5: Solve for x
    x = 1,738,306,249/19,183
  6. Step 6: Final answer
    x = 90,617.02

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.