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Finding the Third Proportional to 33,528.94 and 83,305.97

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Solution

The third proportional to 33,528.94 and 83,305.97 is: 206,981.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,528.94 : 83,305.97 = 83,305.97 : x
  2. Step 2: Convert to fraction form
    33,528.94/83,305.97 = 83,305.97/x
  3. Step 3: Cross multiply
    33,528.94x = 83,305.97 × 83,305.97
  4. Step 4: Simplify right side
    33,528.94x = 6,939,884,429.38
  5. Step 5: Solve for x
    x = 6,939,884,429.38/33,528.94
  6. Step 6: Final answer
    x = 206,981.94

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These problems maintain the same ratio (2.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.