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Finding the Third Proportional to 2,188.31 and 3,274.69

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Solution

The third proportional to 2,188.31 and 3,274.69 is: 4,900.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,188.31 : 3,274.69 = 3,274.69 : x
  2. Step 2: Convert to fraction form
    2,188.31/3,274.69 = 3,274.69/x
  3. Step 3: Cross multiply
    2,188.31x = 3,274.69 × 3,274.69
  4. Step 4: Simplify right side
    2,188.31x = 10,723,578.22
  5. Step 5: Solve for x
    x = 10,723,578.22/2,188.31
  6. Step 6: Final answer
    x = 4,900.39

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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.