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Finding the Third Proportional to 23,833.50 and 47,067.75

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Solution

The third proportional to 23,833.50 and 47,067.75 is: 92,952.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,833.50 : 47,067.75 = 47,067.75 : x
  2. Step 2: Convert to fraction form
    23,833.50/47,067.75 = 47,067.75/x
  3. Step 3: Cross multiply
    23,833.50x = 47,067.75 × 47,067.75
  4. Step 4: Simplify right side
    23,833.50x = 2,215,373,090.06
  5. Step 5: Solve for x
    x = 2,215,373,090.06/23,833.50
  6. Step 6: Final answer
    x = 92,952.07

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.