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Finding the Third Proportional to 18,576 and 38,974

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Solution

The third proportional to 18,576 and 38,974 is: 81,770.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,576 : 38,974 = 38,974 : x
  2. Step 2: Convert to fraction form
    18,576/38,974 = 38,974/x
  3. Step 3: Cross multiply
    18,576x = 38,974 × 38,974
  4. Step 4: Simplify right side
    18,576x = 1,518,972,676
  5. Step 5: Solve for x
    x = 1,518,972,676/18,576
  6. Step 6: Final answer
    x = 81,770.71

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.