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Finding the Third Proportional to 6,328 and 7,624

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Solution

The third proportional to 6,328 and 7,624 is: 9,185.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,328 : 7,624 = 7,624 : x
  2. Step 2: Convert to fraction form
    6,328/7,624 = 7,624/x
  3. Step 3: Cross multiply
    6,328x = 7,624 × 7,624
  4. Step 4: Simplify right side
    6,328x = 58,125,376
  5. Step 5: Solve for x
    x = 58,125,376/6,328
  6. Step 6: Final answer
    x = 9,185.43

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These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.