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Finding the Third Proportional to 2,562.15 and 5,517.28

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Solution

The third proportional to 2,562.15 and 5,517.28 is: 11,880.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,562.15 : 5,517.28 = 5,517.28 : x
  2. Step 2: Convert to fraction form
    2,562.15/5,517.28 = 5,517.28/x
  3. Step 3: Cross multiply
    2,562.15x = 5,517.28 × 5,517.28
  4. Step 4: Simplify right side
    2,562.15x = 30,440,392.39
  5. Step 5: Solve for x
    x = 30,440,392.39/2,562.15
  6. Step 6: Final answer
    x = 11,880.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.