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Finding the Third Proportional to 12,198.94 and 18,322.03

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Solution

The third proportional to 12,198.94 and 18,322.03 is: 27,518.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,198.94 : 18,322.03 = 18,322.03 : x
  2. Step 2: Convert to fraction form
    12,198.94/18,322.03 = 18,322.03/x
  3. Step 3: Cross multiply
    12,198.94x = 18,322.03 × 18,322.03
  4. Step 4: Simplify right side
    12,198.94x = 335,696,829.13
  5. Step 5: Solve for x
    x = 335,696,829.13/12,198.94
  6. Step 6: Final answer
    x = 27,518.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.