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Finding the Third Proportional to 13,974 and 19,546

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Solution

The third proportional to 13,974 and 19,546 is: 27,339.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,974 : 19,546 = 19,546 : x
  2. Step 2: Convert to fraction form
    13,974/19,546 = 19,546/x
  3. Step 3: Cross multiply
    13,974x = 19,546 × 19,546
  4. Step 4: Simplify right side
    13,974x = 382,046,116
  5. Step 5: Solve for x
    x = 382,046,116/13,974
  6. Step 6: Final answer
    x = 27,339.78

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.