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Finding the Third Proportional to 19,082 and 27,755

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Solution

The third proportional to 19,082 and 27,755 is: 40,369.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,082 : 27,755 = 27,755 : x
  2. Step 2: Convert to fraction form
    19,082/27,755 = 27,755/x
  3. Step 3: Cross multiply
    19,082x = 27,755 × 27,755
  4. Step 4: Simplify right side
    19,082x = 770,340,025
  5. Step 5: Solve for x
    x = 770,340,025/19,082
  6. Step 6: Final answer
    x = 40,369.98

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.