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Finding the Third Proportional to 48,267 and 73,836

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Solution

The third proportional to 48,267 and 73,836 is: 112,949.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,267 : 73,836 = 73,836 : x
  2. Step 2: Convert to fraction form
    48,267/73,836 = 73,836/x
  3. Step 3: Cross multiply
    48,267x = 73,836 × 73,836
  4. Step 4: Simplify right side
    48,267x = 5,451,754,896
  5. Step 5: Solve for x
    x = 5,451,754,896/48,267
  6. Step 6: Final answer
    x = 112,949.94

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.