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Finding the Third Proportional to 1,252.55 and 2,620.27

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Solution

The third proportional to 1,252.55 and 2,620.27 is: 5,481.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,252.55 : 2,620.27 = 2,620.27 : x
  2. Step 2: Convert to fraction form
    1,252.55/2,620.27 = 2,620.27/x
  3. Step 3: Cross multiply
    1,252.55x = 2,620.27 × 2,620.27
  4. Step 4: Simplify right side
    1,252.55x = 6,865,791.95
  5. Step 5: Solve for x
    x = 6,865,791.95/1,252.55
  6. Step 6: Final answer
    x = 5,481.47

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.