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Finding the Third Proportional to 3,638 and 8,082

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Solution

The third proportional to 3,638 and 8,082 is: 17,954.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,638 : 8,082 = 8,082 : x
  2. Step 2: Convert to fraction form
    3,638/8,082 = 8,082/x
  3. Step 3: Cross multiply
    3,638x = 8,082 × 8,082
  4. Step 4: Simplify right side
    3,638x = 65,318,724
  5. Step 5: Solve for x
    x = 65,318,724/3,638
  6. Step 6: Final answer
    x = 17,954.57

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.