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Finding the Third Proportional to 18,008.50 and 41,866

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Solution

The third proportional to 18,008.50 and 41,866 is: 97,329.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,008.50 : 41,866 = 41,866 : x
  2. Step 2: Convert to fraction form
    18,008.50/41,866 = 41,866/x
  3. Step 3: Cross multiply
    18,008.50x = 41,866 × 41,866
  4. Step 4: Simplify right side
    18,008.50x = 1,752,761,956
  5. Step 5: Solve for x
    x = 1,752,761,956/18,008.50
  6. Step 6: Final answer
    x = 97,329.70

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.