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Finding the Third Proportional to 33,576 and 51,824

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Solution

The third proportional to 33,576 and 51,824 is: 79,989.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,576 : 51,824 = 51,824 : x
  2. Step 2: Convert to fraction form
    33,576/51,824 = 51,824/x
  3. Step 3: Cross multiply
    33,576x = 51,824 × 51,824
  4. Step 4: Simplify right side
    33,576x = 2,685,726,976
  5. Step 5: Solve for x
    x = 2,685,726,976/33,576
  6. Step 6: Final answer
    x = 79,989.49

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.