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Finding the Third Proportional to 33,021 and 64,388.25

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Solution

The third proportional to 33,021 and 64,388.25 is: 125,551.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,021 : 64,388.25 = 64,388.25 : x
  2. Step 2: Convert to fraction form
    33,021/64,388.25 = 64,388.25/x
  3. Step 3: Cross multiply
    33,021x = 64,388.25 × 64,388.25
  4. Step 4: Simplify right side
    33,021x = 4,145,846,738.06
  5. Step 5: Solve for x
    x = 4,145,846,738.06/33,021
  6. Step 6: Final answer
    x = 125,551.82

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.