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Finding the Third Proportional to 33,299 and 70,836.50

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Solution

The third proportional to 33,299 and 70,836.50 is: 150,689.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,299 : 70,836.50 = 70,836.50 : x
  2. Step 2: Convert to fraction form
    33,299/70,836.50 = 70,836.50/x
  3. Step 3: Cross multiply
    33,299x = 70,836.50 × 70,836.50
  4. Step 4: Simplify right side
    33,299x = 5,017,809,732.25
  5. Step 5: Solve for x
    x = 5,017,809,732.25/33,299
  6. Step 6: Final answer
    x = 150,689.50

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.