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Finding the Third Proportional to 5,974 and 13,885

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Solution

The third proportional to 5,974 and 13,885 is: 32,272.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,974 : 13,885 = 13,885 : x
  2. Step 2: Convert to fraction form
    5,974/13,885 = 13,885/x
  3. Step 3: Cross multiply
    5,974x = 13,885 × 13,885
  4. Step 4: Simplify right side
    5,974x = 192,793,225
  5. Step 5: Solve for x
    x = 192,793,225/5,974
  6. Step 6: Final answer
    x = 32,272.05

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.