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Finding the Third Proportional to 6,096 and 8,320

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Solution

The third proportional to 6,096 and 8,320 is: 11,355.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,096 : 8,320 = 8,320 : x
  2. Step 2: Convert to fraction form
    6,096/8,320 = 8,320/x
  3. Step 3: Cross multiply
    6,096x = 8,320 × 8,320
  4. Step 4: Simplify right side
    6,096x = 69,222,400
  5. Step 5: Solve for x
    x = 69,222,400/6,096
  6. Step 6: Final answer
    x = 11,355.38

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.