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Finding the Third Proportional to 13,998 and 30,759

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Solution

The third proportional to 13,998 and 30,759 is: 67,589.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,998 : 30,759 = 30,759 : x
  2. Step 2: Convert to fraction form
    13,998/30,759 = 30,759/x
  3. Step 3: Cross multiply
    13,998x = 30,759 × 30,759
  4. Step 4: Simplify right side
    13,998x = 946,116,081
  5. Step 5: Solve for x
    x = 946,116,081/13,998
  6. Step 6: Final answer
    x = 67,589.38

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.