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Finding the Third Proportional to 6,082 and 7,715

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Solution

The third proportional to 6,082 and 7,715 is: 9,786.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,082 : 7,715 = 7,715 : x
  2. Step 2: Convert to fraction form
    6,082/7,715 = 7,715/x
  3. Step 3: Cross multiply
    6,082x = 7,715 × 7,715
  4. Step 4: Simplify right side
    6,082x = 59,521,225
  5. Step 5: Solve for x
    x = 59,521,225/6,082
  6. Step 6: Final answer
    x = 9,786.46

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.