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Finding the Third Proportional to 3,082 and 4,715

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Solution

The third proportional to 3,082 and 4,715 is: 7,213.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,082 : 4,715 = 4,715 : x
  2. Step 2: Convert to fraction form
    3,082/4,715 = 4,715/x
  3. Step 3: Cross multiply
    3,082x = 4,715 × 4,715
  4. Step 4: Simplify right side
    3,082x = 22,231,225
  5. Step 5: Solve for x
    x = 22,231,225/3,082
  6. Step 6: Final answer
    x = 7,213.25

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.