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Finding the Third Proportional to 4,880 and 5,408

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Solution

The third proportional to 4,880 and 5,408 is: 5,993.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,880 : 5,408 = 5,408 : x
  2. Step 2: Convert to fraction form
    4,880/5,408 = 5,408/x
  3. Step 3: Cross multiply
    4,880x = 5,408 × 5,408
  4. Step 4: Simplify right side
    4,880x = 29,246,464
  5. Step 5: Solve for x
    x = 29,246,464/4,880
  6. Step 6: Final answer
    x = 5,993.13

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.