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Finding the Third Proportional to 3,792 and 7,408.50

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Solution

The third proportional to 3,792 and 7,408.50 is: 14,474.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,792 : 7,408.50 = 7,408.50 : x
  2. Step 2: Convert to fraction form
    3,792/7,408.50 = 7,408.50/x
  3. Step 3: Cross multiply
    3,792x = 7,408.50 × 7,408.50
  4. Step 4: Simplify right side
    3,792x = 54,885,872.25
  5. Step 5: Solve for x
    x = 54,885,872.25/3,792
  6. Step 6: Final answer
    x = 14,474.12

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.