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Finding the Third Proportional to 6,082 and 9,676

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Solution

The third proportional to 6,082 and 9,676 is: 15,393.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,082 : 9,676 = 9,676 : x
  2. Step 2: Convert to fraction form
    6,082/9,676 = 9,676/x
  3. Step 3: Cross multiply
    6,082x = 9,676 × 9,676
  4. Step 4: Simplify right side
    6,082x = 93,624,976
  5. Step 5: Solve for x
    x = 93,624,976/6,082
  6. Step 6: Final answer
    x = 15,393.78

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.