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Finding the Third Proportional to 3,008 and 3,892

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Solution

The third proportional to 3,008 and 3,892 is: 5,035.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,008 : 3,892 = 3,892 : x
  2. Step 2: Convert to fraction form
    3,008/3,892 = 3,892/x
  3. Step 3: Cross multiply
    3,008x = 3,892 × 3,892
  4. Step 4: Simplify right side
    3,008x = 15,147,664
  5. Step 5: Solve for x
    x = 15,147,664/3,008
  6. Step 6: Final answer
    x = 5,035.79

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.