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Finding the Third Proportional to 3,408.75 and 3,872.25

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Solution

The third proportional to 3,408.75 and 3,872.25 is: 4,398.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,408.75 : 3,872.25 = 3,872.25 : x
  2. Step 2: Convert to fraction form
    3,408.75/3,872.25 = 3,872.25/x
  3. Step 3: Cross multiply
    3,408.75x = 3,872.25 × 3,872.25
  4. Step 4: Simplify right side
    3,408.75x = 14,994,320.06
  5. Step 5: Solve for x
    x = 14,994,320.06/3,408.75
  6. Step 6: Final answer
    x = 4,398.77

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.