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Finding the Third Proportional to 8,974 and 13,771

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Solution

The third proportional to 8,974 and 13,771 is: 21,132.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,974 : 13,771 = 13,771 : x
  2. Step 2: Convert to fraction form
    8,974/13,771 = 13,771/x
  3. Step 3: Cross multiply
    8,974x = 13,771 × 13,771
  4. Step 4: Simplify right side
    8,974x = 189,640,441
  5. Step 5: Solve for x
    x = 189,640,441/8,974
  6. Step 6: Final answer
    x = 21,132.21

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.