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Finding the Third Proportional to 18,553 and 41,108

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Solution

The third proportional to 18,553 and 41,108 is: 91,083.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,553 : 41,108 = 41,108 : x
  2. Step 2: Convert to fraction form
    18,553/41,108 = 41,108/x
  3. Step 3: Cross multiply
    18,553x = 41,108 × 41,108
  4. Step 4: Simplify right side
    18,553x = 1,689,867,664
  5. Step 5: Solve for x
    x = 1,689,867,664/18,553
  6. Step 6: Final answer
    x = 91,083.26

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.