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Finding the Third Proportional to 34,816 and 50,757

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Solution

The third proportional to 34,816 and 50,757 is: 73,996.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,816 : 50,757 = 50,757 : x
  2. Step 2: Convert to fraction form
    34,816/50,757 = 50,757/x
  3. Step 3: Cross multiply
    34,816x = 50,757 × 50,757
  4. Step 4: Simplify right side
    34,816x = 2,576,273,049
  5. Step 5: Solve for x
    x = 2,576,273,049/34,816
  6. Step 6: Final answer
    x = 73,996.81

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.