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Finding the Third Proportional to 3,414.66 and 7,515.28

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Solution

The third proportional to 3,414.66 and 7,515.28 is: 16,540.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,414.66 : 7,515.28 = 7,515.28 : x
  2. Step 2: Convert to fraction form
    3,414.66/7,515.28 = 7,515.28/x
  3. Step 3: Cross multiply
    3,414.66x = 7,515.28 × 7,515.28
  4. Step 4: Simplify right side
    3,414.66x = 56,479,452.27
  5. Step 5: Solve for x
    x = 56,479,452.27/3,414.66
  6. Step 6: Final answer
    x = 16,540.30

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.