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Finding the Third Proportional to 3,965.91 and 9,395.44

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Solution

The third proportional to 3,965.91 and 9,395.44 is: 22,258.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,965.91 : 9,395.44 = 9,395.44 : x
  2. Step 2: Convert to fraction form
    3,965.91/9,395.44 = 9,395.44/x
  3. Step 3: Cross multiply
    3,965.91x = 9,395.44 × 9,395.44
  4. Step 4: Simplify right side
    3,965.91x = 88,274,245.82
  5. Step 5: Solve for x
    x = 88,274,245.82/3,965.91
  6. Step 6: Final answer
    x = 22,258.28

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These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.