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Finding the Third Proportional to 33,005.81 and 71,272.62

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Solution

The third proportional to 33,005.81 and 71,272.62 is: 153,905.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,005.81 : 71,272.62 = 71,272.62 : x
  2. Step 2: Convert to fraction form
    33,005.81/71,272.62 = 71,272.62/x
  3. Step 3: Cross multiply
    33,005.81x = 71,272.62 × 71,272.62
  4. Step 4: Simplify right side
    33,005.81x = 5,079,785,960.76
  5. Step 5: Solve for x
    x = 5,079,785,960.76/33,005.81
  6. Step 6: Final answer
    x = 153,905.80

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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.