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Finding the Third Proportional to 13,974 and 21,561

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Solution

The third proportional to 13,974 and 21,561 is: 33,267.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,974 : 21,561 = 21,561 : x
  2. Step 2: Convert to fraction form
    13,974/21,561 = 21,561/x
  3. Step 3: Cross multiply
    13,974x = 21,561 × 21,561
  4. Step 4: Simplify right side
    13,974x = 464,876,721
  5. Step 5: Solve for x
    x = 464,876,721/13,974
  6. Step 6: Final answer
    x = 33,267.26

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.