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Finding the Third Proportional to 18,000.56 and 27,004.22

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Solution

The third proportional to 18,000.56 and 27,004.22 is: 40,511.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,000.56 : 27,004.22 = 27,004.22 : x
  2. Step 2: Convert to fraction form
    18,000.56/27,004.22 = 27,004.22/x
  3. Step 3: Cross multiply
    18,000.56x = 27,004.22 × 27,004.22
  4. Step 4: Simplify right side
    18,000.56x = 729,227,830.30
  5. Step 5: Solve for x
    x = 729,227,830.30/18,000.56
  6. Step 6: Final answer
    x = 40,511.39

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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.