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Finding the Third Proportional to 35,067.50 and 54,324.75

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Solution

The third proportional to 35,067.50 and 54,324.75 is: 84,157.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,067.50 : 54,324.75 = 54,324.75 : x
  2. Step 2: Convert to fraction form
    35,067.50/54,324.75 = 54,324.75/x
  3. Step 3: Cross multiply
    35,067.50x = 54,324.75 × 54,324.75
  4. Step 4: Simplify right side
    35,067.50x = 2,951,178,462.56
  5. Step 5: Solve for x
    x = 2,951,178,462.56/35,067.50
  6. Step 6: Final answer
    x = 84,157.08

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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.