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Finding the Third Proportional to 18,120.94 and 27,097.03

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Solution

The third proportional to 18,120.94 and 27,097.03 is: 40,519.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,120.94 : 27,097.03 = 27,097.03 : x
  2. Step 2: Convert to fraction form
    18,120.94/27,097.03 = 27,097.03/x
  3. Step 3: Cross multiply
    18,120.94x = 27,097.03 × 27,097.03
  4. Step 4: Simplify right side
    18,120.94x = 734,249,102.56
  5. Step 5: Solve for x
    x = 734,249,102.56/18,120.94
  6. Step 6: Final answer
    x = 40,519.38

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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.