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Finding the Third Proportional to 2,408.06 and 3,252.66

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Solution

The third proportional to 2,408.06 and 3,252.66 is: 4,393.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,408.06 : 3,252.66 = 3,252.66 : x
  2. Step 2: Convert to fraction form
    2,408.06/3,252.66 = 3,252.66/x
  3. Step 3: Cross multiply
    2,408.06x = 3,252.66 × 3,252.66
  4. Step 4: Simplify right side
    2,408.06x = 10,579,772.68
  5. Step 5: Solve for x
    x = 10,579,772.68/2,408.06
  6. Step 6: Final answer
    x = 4,393.48

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.