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Finding the Third Proportional to 33,656.25 and 52,104.75

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Solution

The third proportional to 33,656.25 and 52,104.75 is: 80,665.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,656.25 : 52,104.75 = 52,104.75 : x
  2. Step 2: Convert to fraction form
    33,656.25/52,104.75 = 52,104.75/x
  3. Step 3: Cross multiply
    33,656.25x = 52,104.75 × 52,104.75
  4. Step 4: Simplify right side
    33,656.25x = 2,714,904,972.56
  5. Step 5: Solve for x
    x = 2,714,904,972.56/33,656.25
  6. Step 6: Final answer
    x = 80,665.70

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.