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Finding the Third Proportional to 18,127.50 and 27,105

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Solution

The third proportional to 18,127.50 and 27,105 is: 40,528.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,127.50 : 27,105 = 27,105 : x
  2. Step 2: Convert to fraction form
    18,127.50/27,105 = 27,105/x
  3. Step 3: Cross multiply
    18,127.50x = 27,105 × 27,105
  4. Step 4: Simplify right side
    18,127.50x = 734,681,025
  5. Step 5: Solve for x
    x = 734,681,025/18,127.50
  6. Step 6: Final answer
    x = 40,528.54

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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.