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Finding the Third Proportional to 18,885 and 29,994

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Solution

The third proportional to 18,885 and 29,994 is: 47,637.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,885 : 29,994 = 29,994 : x
  2. Step 2: Convert to fraction form
    18,885/29,994 = 29,994/x
  3. Step 3: Cross multiply
    18,885x = 29,994 × 29,994
  4. Step 4: Simplify right side
    18,885x = 899,640,036
  5. Step 5: Solve for x
    x = 899,640,036/18,885
  6. Step 6: Final answer
    x = 47,637.81

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.