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Finding the Third Proportional to 13,764.94 and 18,111.09

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Solution

The third proportional to 13,764.94 and 18,111.09 is: 23,829.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,764.94 : 18,111.09 = 18,111.09 : x
  2. Step 2: Convert to fraction form
    13,764.94/18,111.09 = 18,111.09/x
  3. Step 3: Cross multiply
    13,764.94x = 18,111.09 × 18,111.09
  4. Step 4: Simplify right side
    13,764.94x = 328,011,716.82
  5. Step 5: Solve for x
    x = 328,011,716.82/13,764.94
  6. Step 6: Final answer
    x = 23,829.51

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.