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Finding the Third Proportional to 8,180 and 12,974

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Solution

The third proportional to 8,180 and 12,974 is: 20,577.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,180 : 12,974 = 12,974 : x
  2. Step 2: Convert to fraction form
    8,180/12,974 = 12,974/x
  3. Step 3: Cross multiply
    8,180x = 12,974 × 12,974
  4. Step 4: Simplify right side
    8,180x = 168,324,676
  5. Step 5: Solve for x
    x = 168,324,676/8,180
  6. Step 6: Final answer
    x = 20,577.59

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.