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Finding the Third Proportional to 34,062 and 50,883

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Solution

The third proportional to 34,062 and 50,883 is: 76,010.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,062 : 50,883 = 50,883 : x
  2. Step 2: Convert to fraction form
    34,062/50,883 = 50,883/x
  3. Step 3: Cross multiply
    34,062x = 50,883 × 50,883
  4. Step 4: Simplify right side
    34,062x = 2,589,079,689
  5. Step 5: Solve for x
    x = 2,589,079,689/34,062
  6. Step 6: Final answer
    x = 76,010.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.