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Finding the Third Proportional to 13,974 and 21,825

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Solution

The third proportional to 13,974 and 21,825 is: 34,086.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,974 : 21,825 = 21,825 : x
  2. Step 2: Convert to fraction form
    13,974/21,825 = 21,825/x
  3. Step 3: Cross multiply
    13,974x = 21,825 × 21,825
  4. Step 4: Simplify right side
    13,974x = 476,330,625
  5. Step 5: Solve for x
    x = 476,330,625/13,974
  6. Step 6: Final answer
    x = 34,086.92

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.