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Finding the Third Proportional to 34,115.50 and 50,198

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Solution

The third proportional to 34,115.50 and 50,198 is: 73,862.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,115.50 : 50,198 = 50,198 : x
  2. Step 2: Convert to fraction form
    34,115.50/50,198 = 50,198/x
  3. Step 3: Cross multiply
    34,115.50x = 50,198 × 50,198
  4. Step 4: Simplify right side
    34,115.50x = 2,519,839,204
  5. Step 5: Solve for x
    x = 2,519,839,204/34,115.50
  6. Step 6: Final answer
    x = 73,862.00

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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.