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Finding the Third Proportional to 13,764 and 17,934

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Solution

The third proportional to 13,764 and 17,934 is: 23,367.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,764 : 17,934 = 17,934 : x
  2. Step 2: Convert to fraction form
    13,764/17,934 = 17,934/x
  3. Step 3: Cross multiply
    13,764x = 17,934 × 17,934
  4. Step 4: Simplify right side
    13,764x = 321,628,356
  5. Step 5: Solve for x
    x = 321,628,356/13,764
  6. Step 6: Final answer
    x = 23,367.36

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.