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Finding the Third Proportional to 33,264 and 71,803

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Solution

The third proportional to 33,264 and 71,803 is: 154,992.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,264 : 71,803 = 71,803 : x
  2. Step 2: Convert to fraction form
    33,264/71,803 = 71,803/x
  3. Step 3: Cross multiply
    33,264x = 71,803 × 71,803
  4. Step 4: Simplify right side
    33,264x = 5,155,670,809
  5. Step 5: Solve for x
    x = 5,155,670,809/33,264
  6. Step 6: Final answer
    x = 154,992.51

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.