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Finding the Third Proportional to 2,576.25 and 3,971.25

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Solution

The third proportional to 2,576.25 and 3,971.25 is: 6,121.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,576.25 : 3,971.25 = 3,971.25 : x
  2. Step 2: Convert to fraction form
    2,576.25/3,971.25 = 3,971.25/x
  3. Step 3: Cross multiply
    2,576.25x = 3,971.25 × 3,971.25
  4. Step 4: Simplify right side
    2,576.25x = 15,770,826.56
  5. Step 5: Solve for x
    x = 15,770,826.56/2,576.25
  6. Step 6: Final answer
    x = 6,121.62

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.