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Finding the Third Proportional to 13,974 and 28,689

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Solution

The third proportional to 13,974 and 28,689 is: 58,899.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,974 : 28,689 = 28,689 : x
  2. Step 2: Convert to fraction form
    13,974/28,689 = 28,689/x
  3. Step 3: Cross multiply
    13,974x = 28,689 × 28,689
  4. Step 4: Simplify right side
    13,974x = 823,058,721
  5. Step 5: Solve for x
    x = 823,058,721/13,974
  6. Step 6: Final answer
    x = 58,899.29

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.