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Finding the Third Proportional to 2,576.18 and 5,549.13

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Solution

The third proportional to 2,576.18 and 5,549.13 is: 11,952.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,576.18 : 5,549.13 = 5,549.13 : x
  2. Step 2: Convert to fraction form
    2,576.18/5,549.13 = 5,549.13/x
  3. Step 3: Cross multiply
    2,576.18x = 5,549.13 × 5,549.13
  4. Step 4: Simplify right side
    2,576.18x = 30,792,874.97
  5. Step 5: Solve for x
    x = 30,792,874.97/2,576.18
  6. Step 6: Final answer
    x = 11,952.92

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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.