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Finding the Third Proportional to 3,889.27 and 5,844.02

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Solution

The third proportional to 3,889.27 and 5,844.02 is: 8,781.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,889.27 : 5,844.02 = 5,844.02 : x
  2. Step 2: Convert to fraction form
    3,889.27/5,844.02 = 5,844.02/x
  3. Step 3: Cross multiply
    3,889.27x = 5,844.02 × 5,844.02
  4. Step 4: Simplify right side
    3,889.27x = 34,152,609.94
  5. Step 5: Solve for x
    x = 34,152,609.94/3,889.27
  6. Step 6: Final answer
    x = 8,781.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.