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Finding the Third Proportional to 33,076 and 50,388

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Solution

The third proportional to 33,076 and 50,388 is: 76,761.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,076 : 50,388 = 50,388 : x
  2. Step 2: Convert to fraction form
    33,076/50,388 = 50,388/x
  3. Step 3: Cross multiply
    33,076x = 50,388 × 50,388
  4. Step 4: Simplify right side
    33,076x = 2,538,950,544
  5. Step 5: Solve for x
    x = 2,538,950,544/33,076
  6. Step 6: Final answer
    x = 76,761.11

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.