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Finding the Third Proportional to 3,408.75 and 4,608.56

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Solution

The third proportional to 3,408.75 and 4,608.56 is: 6,230.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,408.75 : 4,608.56 = 4,608.56 : x
  2. Step 2: Convert to fraction form
    3,408.75/4,608.56 = 4,608.56/x
  3. Step 3: Cross multiply
    3,408.75x = 4,608.56 × 4,608.56
  4. Step 4: Simplify right side
    3,408.75x = 21,238,848.32
  5. Step 5: Solve for x
    x = 21,238,848.32/3,408.75
  6. Step 6: Final answer
    x = 6,230.69

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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.