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Finding the Third Proportional to 4,082 and 10,085

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Solution

The third proportional to 4,082 and 10,085 is: 24,916.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,082 : 10,085 = 10,085 : x
  2. Step 2: Convert to fraction form
    4,082/10,085 = 10,085/x
  3. Step 3: Cross multiply
    4,082x = 10,085 × 10,085
  4. Step 4: Simplify right side
    4,082x = 101,707,225
  5. Step 5: Solve for x
    x = 101,707,225/4,082
  6. Step 6: Final answer
    x = 24,916.03

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Why These Related Problems?

These problems maintain the same ratio (2.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.