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Finding the Third Proportional to 4,176 and 6,408

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Solution

The third proportional to 4,176 and 6,408 is: 9,832.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,176 : 6,408 = 6,408 : x
  2. Step 2: Convert to fraction form
    4,176/6,408 = 6,408/x
  3. Step 3: Cross multiply
    4,176x = 6,408 × 6,408
  4. Step 4: Simplify right side
    4,176x = 41,062,464
  5. Step 5: Solve for x
    x = 41,062,464/4,176
  6. Step 6: Final answer
    x = 9,832.97

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.