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Finding the Third Proportional to 23,420 and 50,809

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Solution

The third proportional to 23,420 and 50,809 is: 110,228.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,420 : 50,809 = 50,809 : x
  2. Step 2: Convert to fraction form
    23,420/50,809 = 50,809/x
  3. Step 3: Cross multiply
    23,420x = 50,809 × 50,809
  4. Step 4: Simplify right side
    23,420x = 2,581,554,481
  5. Step 5: Solve for x
    x = 2,581,554,481/23,420
  6. Step 6: Final answer
    x = 110,228.63

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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.