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Finding the Third Proportional to 2,408.42 and 5,254.73

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Solution

The third proportional to 2,408.42 and 5,254.73 is: 11,464.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,408.42 : 5,254.73 = 5,254.73 : x
  2. Step 2: Convert to fraction form
    2,408.42/5,254.73 = 5,254.73/x
  3. Step 3: Cross multiply
    2,408.42x = 5,254.73 × 5,254.73
  4. Step 4: Simplify right side
    2,408.42x = 27,612,152.53
  5. Step 5: Solve for x
    x = 27,612,152.53/2,408.42
  6. Step 6: Final answer
    x = 11,464.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.