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Finding the Third Proportional to 6,376 and 9,512

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Solution

The third proportional to 6,376 and 9,512 is: 14,190.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,376 : 9,512 = 9,512 : x
  2. Step 2: Convert to fraction form
    6,376/9,512 = 9,512/x
  3. Step 3: Cross multiply
    6,376x = 9,512 × 9,512
  4. Step 4: Simplify right side
    6,376x = 90,478,144
  5. Step 5: Solve for x
    x = 90,478,144/6,376
  6. Step 6: Final answer
    x = 14,190.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.