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Finding the Third Proportional to 18,002.50 and 27,003

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Solution

The third proportional to 18,002.50 and 27,003 is: 40,503.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,002.50 : 27,003 = 27,003 : x
  2. Step 2: Convert to fraction form
    18,002.50/27,003 = 27,003/x
  3. Step 3: Cross multiply
    18,002.50x = 27,003 × 27,003
  4. Step 4: Simplify right side
    18,002.50x = 729,162,009
  5. Step 5: Solve for x
    x = 729,162,009/18,002.50
  6. Step 6: Final answer
    x = 40,503.38

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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.