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Finding the Third Proportional to 33,015.94 and 69,676.88

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Solution

The third proportional to 33,015.94 and 69,676.88 is: 147,046.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,015.94 : 69,676.88 = 69,676.88 : x
  2. Step 2: Convert to fraction form
    33,015.94/69,676.88 = 69,676.88/x
  3. Step 3: Cross multiply
    33,015.94x = 69,676.88 × 69,676.88
  4. Step 4: Simplify right side
    33,015.94x = 4,854,866,909.77
  5. Step 5: Solve for x
    x = 4,854,866,909.77/33,015.94
  6. Step 6: Final answer
    x = 147,046.16

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.