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Finding the Third Proportional to 33,543.50 and 69,809.50

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Solution

The third proportional to 33,543.50 and 69,809.50 is: 145,284.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,543.50 : 69,809.50 = 69,809.50 : x
  2. Step 2: Convert to fraction form
    33,543.50/69,809.50 = 69,809.50/x
  3. Step 3: Cross multiply
    33,543.50x = 69,809.50 × 69,809.50
  4. Step 4: Simplify right side
    33,543.50x = 4,873,366,290.25
  5. Step 5: Solve for x
    x = 4,873,366,290.25/33,543.50
  6. Step 6: Final answer
    x = 145,284.97

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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.