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Finding the Third Proportional to 18,765 and 27,067.50

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Solution

The third proportional to 18,765 and 27,067.50 is: 39,043.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,765 : 27,067.50 = 27,067.50 : x
  2. Step 2: Convert to fraction form
    18,765/27,067.50 = 27,067.50/x
  3. Step 3: Cross multiply
    18,765x = 27,067.50 × 27,067.50
  4. Step 4: Simplify right side
    18,765x = 732,649,556.25
  5. Step 5: Solve for x
    x = 732,649,556.25/18,765
  6. Step 6: Final answer
    x = 39,043.41

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.