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Finding the Third Proportional to 3,616.21 and 5,462.91

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Solution

The third proportional to 3,616.21 and 5,462.91 is: 8,252.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,616.21 : 5,462.91 = 5,462.91 : x
  2. Step 2: Convert to fraction form
    3,616.21/5,462.91 = 5,462.91/x
  3. Step 3: Cross multiply
    3,616.21x = 5,462.91 × 5,462.91
  4. Step 4: Simplify right side
    3,616.21x = 29,843,408.71
  5. Step 5: Solve for x
    x = 29,843,408.71/3,616.21
  6. Step 6: Final answer
    x = 8,252.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.