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Finding the Third Proportional to 33,467.06 and 69,707.81

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Solution

The third proportional to 33,467.06 and 69,707.81 is: 145,192.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,467.06 : 69,707.81 = 69,707.81 : x
  2. Step 2: Convert to fraction form
    33,467.06/69,707.81 = 69,707.81/x
  3. Step 3: Cross multiply
    33,467.06x = 69,707.81 × 69,707.81
  4. Step 4: Simplify right side
    33,467.06x = 4,859,179,123.54
  5. Step 5: Solve for x
    x = 4,859,179,123.54/33,467.06
  6. Step 6: Final answer
    x = 145,192.88

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.