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Finding the Third Proportional to 34,542.50 and 50,679.75

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Solution

The third proportional to 34,542.50 and 50,679.75 is: 74,355.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,542.50 : 50,679.75 = 50,679.75 : x
  2. Step 2: Convert to fraction form
    34,542.50/50,679.75 = 50,679.75/x
  3. Step 3: Cross multiply
    34,542.50x = 50,679.75 × 50,679.75
  4. Step 4: Simplify right side
    34,542.50x = 2,568,437,060.06
  5. Step 5: Solve for x
    x = 2,568,437,060.06/34,542.50
  6. Step 6: Final answer
    x = 74,355.85

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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.