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Finding the Third Proportional to 3,408 and 4,579.88

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Solution

The third proportional to 3,408 and 4,579.88 is: 6,154.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,408 : 4,579.88 = 4,579.88 : x
  2. Step 2: Convert to fraction form
    3,408/4,579.88 = 4,579.88/x
  3. Step 3: Cross multiply
    3,408x = 4,579.88 × 4,579.88
  4. Step 4: Simplify right side
    3,408x = 20,975,255.02
  5. Step 5: Solve for x
    x = 20,975,255.02/3,408
  6. Step 6: Final answer
    x = 6,154.71

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.