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Finding the Third Proportional to 4,082 and 6,089

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Solution

The third proportional to 4,082 and 6,089 is: 9,082.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,082 : 6,089 = 6,089 : x
  2. Step 2: Convert to fraction form
    4,082/6,089 = 6,089/x
  3. Step 3: Cross multiply
    4,082x = 6,089 × 6,089
  4. Step 4: Simplify right side
    4,082x = 37,075,921
  5. Step 5: Solve for x
    x = 37,075,921/4,082
  6. Step 6: Final answer
    x = 9,082.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.