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Finding the Third Proportional to 11,795.63 and 18,104.06

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Solution

The third proportional to 11,795.63 and 18,104.06 is: 27,786.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,795.63 : 18,104.06 = 18,104.06 : x
  2. Step 2: Convert to fraction form
    11,795.63/18,104.06 = 18,104.06/x
  3. Step 3: Cross multiply
    11,795.63x = 18,104.06 × 18,104.06
  4. Step 4: Simplify right side
    11,795.63x = 327,757,079.00
  5. Step 5: Solve for x
    x = 327,757,079.00/11,795.63
  6. Step 6: Final answer
    x = 27,786.33

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.