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Finding the Third Proportional to 29,226.75 and 47,067.75

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Solution

The third proportional to 29,226.75 and 47,067.75 is: 75,799.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,226.75 : 47,067.75 = 47,067.75 : x
  2. Step 2: Convert to fraction form
    29,226.75/47,067.75 = 47,067.75/x
  3. Step 3: Cross multiply
    29,226.75x = 47,067.75 × 47,067.75
  4. Step 4: Simplify right side
    29,226.75x = 2,215,373,090.06
  5. Step 5: Solve for x
    x = 2,215,373,090.06/29,226.75
  6. Step 6: Final answer
    x = 75,799.50

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.