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Finding the Third Proportional to 23,586 and 50,980

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Solution

The third proportional to 23,586 and 50,980 is: 110,190.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,586 : 50,980 = 50,980 : x
  2. Step 2: Convert to fraction form
    23,586/50,980 = 50,980/x
  3. Step 3: Cross multiply
    23,586x = 50,980 × 50,980
  4. Step 4: Simplify right side
    23,586x = 2,598,960,400
  5. Step 5: Solve for x
    x = 2,598,960,400/23,586
  6. Step 6: Final answer
    x = 110,190.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.