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Finding the Third Proportional to 5,792 and 8,408

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Solution

The third proportional to 5,792 and 8,408 is: 12,205.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,792 : 8,408 = 8,408 : x
  2. Step 2: Convert to fraction form
    5,792/8,408 = 8,408/x
  3. Step 3: Cross multiply
    5,792x = 8,408 × 8,408
  4. Step 4: Simplify right side
    5,792x = 70,694,464
  5. Step 5: Solve for x
    x = 70,694,464/5,792
  6. Step 6: Final answer
    x = 12,205.54

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.