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Finding the Third Proportional to 2,576.06 and 3,499.31

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Solution

The third proportional to 2,576.06 and 3,499.31 is: 4,753.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,576.06 : 3,499.31 = 3,499.31 : x
  2. Step 2: Convert to fraction form
    2,576.06/3,499.31 = 3,499.31/x
  3. Step 3: Cross multiply
    2,576.06x = 3,499.31 × 3,499.31
  4. Step 4: Simplify right side
    2,576.06x = 12,245,187.97
  5. Step 5: Solve for x
    x = 12,245,187.97/2,576.06
  6. Step 6: Final answer
    x = 4,753.45

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.