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Finding the Third Proportional to 3,867.75 and 7,672.22

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Solution

The third proportional to 3,867.75 and 7,672.22 is: 15,218.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,867.75 : 7,672.22 = 7,672.22 : x
  2. Step 2: Convert to fraction form
    3,867.75/7,672.22 = 7,672.22/x
  3. Step 3: Cross multiply
    3,867.75x = 7,672.22 × 7,672.22
  4. Step 4: Simplify right side
    3,867.75x = 58,862,940.55
  5. Step 5: Solve for x
    x = 58,862,940.55/3,867.75
  6. Step 6: Final answer
    x = 15,218.91

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These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.