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Finding the Third Proportional to 3,519.28 and 7,691.41

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Solution

The third proportional to 3,519.28 and 7,691.41 is: 16,809.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,519.28 : 7,691.41 = 7,691.41 : x
  2. Step 2: Convert to fraction form
    3,519.28/7,691.41 = 7,691.41/x
  3. Step 3: Cross multiply
    3,519.28x = 7,691.41 × 7,691.41
  4. Step 4: Simplify right side
    3,519.28x = 59,157,850.28
  5. Step 5: Solve for x
    x = 59,157,850.28/3,519.28
  6. Step 6: Final answer
    x = 16,809.64

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.