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Finding the Third Proportional to 33,660 and 73,229

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Solution

The third proportional to 33,660 and 73,229 is: 159,313.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,660 : 73,229 = 73,229 : x
  2. Step 2: Convert to fraction form
    33,660/73,229 = 73,229/x
  3. Step 3: Cross multiply
    33,660x = 73,229 × 73,229
  4. Step 4: Simplify right side
    33,660x = 5,362,486,441
  5. Step 5: Solve for x
    x = 5,362,486,441/33,660
  6. Step 6: Final answer
    x = 159,313.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.