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Finding the Third Proportional to 4,982 and 8,105

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Solution

The third proportional to 4,982 and 8,105 is: 13,185.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,982 : 8,105 = 8,105 : x
  2. Step 2: Convert to fraction form
    4,982/8,105 = 8,105/x
  3. Step 3: Cross multiply
    4,982x = 8,105 × 8,105
  4. Step 4: Simplify right side
    4,982x = 65,691,025
  5. Step 5: Solve for x
    x = 65,691,025/4,982
  6. Step 6: Final answer
    x = 13,185.67

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.