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Finding the Third Proportional to 18,546.19 and 41,238.56

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Solution

The third proportional to 18,546.19 and 41,238.56 is: 91,696.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,546.19 : 41,238.56 = 41,238.56 : x
  2. Step 2: Convert to fraction form
    18,546.19/41,238.56 = 41,238.56/x
  3. Step 3: Cross multiply
    18,546.19x = 41,238.56 × 41,238.56
  4. Step 4: Simplify right side
    18,546.19x = 1,700,619,037.07
  5. Step 5: Solve for x
    x = 1,700,619,037.07/18,546.19
  6. Step 6: Final answer
    x = 91,696.42

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.