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Finding the Third Proportional to 33,824 and 49,438

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Solution

The third proportional to 33,824 and 49,438 is: 72,259.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,824 : 49,438 = 49,438 : x
  2. Step 2: Convert to fraction form
    33,824/49,438 = 49,438/x
  3. Step 3: Cross multiply
    33,824x = 49,438 × 49,438
  4. Step 4: Simplify right side
    33,824x = 2,444,115,844
  5. Step 5: Solve for x
    x = 2,444,115,844/33,824
  6. Step 6: Final answer
    x = 72,259.81

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.