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Finding the Third Proportional to 6,350 and 8,395

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Solution

The third proportional to 6,350 and 8,395 is: 11,098.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,350 : 8,395 = 8,395 : x
  2. Step 2: Convert to fraction form
    6,350/8,395 = 8,395/x
  3. Step 3: Cross multiply
    6,350x = 8,395 × 8,395
  4. Step 4: Simplify right side
    6,350x = 70,476,025
  5. Step 5: Solve for x
    x = 70,476,025/6,350
  6. Step 6: Final answer
    x = 11,098.59

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.