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Finding the Third Proportional to 33,388 and 49,976

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Solution

The third proportional to 33,388 and 49,976 is: 74,805.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,388 : 49,976 = 49,976 : x
  2. Step 2: Convert to fraction form
    33,388/49,976 = 49,976/x
  3. Step 3: Cross multiply
    33,388x = 49,976 × 49,976
  4. Step 4: Simplify right side
    33,388x = 2,497,600,576
  5. Step 5: Solve for x
    x = 2,497,600,576/33,388
  6. Step 6: Final answer
    x = 74,805.34

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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.