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Finding the Third Proportional to 18,190.83 and 27,174.02

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Solution

The third proportional to 18,190.83 and 27,174.02 is: 40,593.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,190.83 : 27,174.02 = 27,174.02 : x
  2. Step 2: Convert to fraction form
    18,190.83/27,174.02 = 27,174.02/x
  3. Step 3: Cross multiply
    18,190.83x = 27,174.02 × 27,174.02
  4. Step 4: Simplify right side
    18,190.83x = 738,427,549.78
  5. Step 5: Solve for x
    x = 738,427,549.78/18,190.83
  6. Step 6: Final answer
    x = 40,593.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.