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Finding the Third Proportional to 49,235 and 73,836

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Solution

The third proportional to 49,235 and 73,836 is: 110,729.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,235 : 73,836 = 73,836 : x
  2. Step 2: Convert to fraction form
    49,235/73,836 = 73,836/x
  3. Step 3: Cross multiply
    49,235x = 73,836 × 73,836
  4. Step 4: Simplify right side
    49,235x = 5,451,754,896
  5. Step 5: Solve for x
    x = 5,451,754,896/49,235
  6. Step 6: Final answer
    x = 110,729.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.