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Finding the Third Proportional to 8,067.94 and 17,432.72

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Solution

The third proportional to 8,067.94 and 17,432.72 is: 37,667.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,067.94 : 17,432.72 = 17,432.72 : x
  2. Step 2: Convert to fraction form
    8,067.94/17,432.72 = 17,432.72/x
  3. Step 3: Cross multiply
    8,067.94x = 17,432.72 × 17,432.72
  4. Step 4: Simplify right side
    8,067.94x = 303,899,683.02
  5. Step 5: Solve for x
    x = 303,899,683.02/8,067.94
  6. Step 6: Final answer
    x = 37,667.58

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.