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Finding the Third Proportional to 5,082 and 5,595

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Solution

The third proportional to 5,082 and 5,595 is: 6,159.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,082 : 5,595 = 5,595 : x
  2. Step 2: Convert to fraction form
    5,082/5,595 = 5,595/x
  3. Step 3: Cross multiply
    5,082x = 5,595 × 5,595
  4. Step 4: Simplify right side
    5,082x = 31,304,025
  5. Step 5: Solve for x
    x = 31,304,025/5,082
  6. Step 6: Final answer
    x = 6,159.78

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.