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Finding the Third Proportional to 8,623.75 and 18,941

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Solution

The third proportional to 8,623.75 and 18,941 is: 41,601.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,623.75 : 18,941 = 18,941 : x
  2. Step 2: Convert to fraction form
    8,623.75/18,941 = 18,941/x
  3. Step 3: Cross multiply
    8,623.75x = 18,941 × 18,941
  4. Step 4: Simplify right side
    8,623.75x = 358,761,481
  5. Step 5: Solve for x
    x = 358,761,481/8,623.75
  6. Step 6: Final answer
    x = 41,601.56

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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.