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Finding the Third Proportional to 50,589 and 74,243.25

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Solution

The third proportional to 50,589 and 74,243.25 is: 108,957.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,589 : 74,243.25 = 74,243.25 : x
  2. Step 2: Convert to fraction form
    50,589/74,243.25 = 74,243.25/x
  3. Step 3: Cross multiply
    50,589x = 74,243.25 × 74,243.25
  4. Step 4: Simplify right side
    50,589x = 5,512,060,170.56
  5. Step 5: Solve for x
    x = 5,512,060,170.56/50,589
  6. Step 6: Final answer
    x = 108,957.68

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.