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Finding the Third Proportional to 8,174.02 and 12,261.03

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Solution

The third proportional to 8,174.02 and 12,261.03 is: 18,391.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,174.02 : 12,261.03 = 12,261.03 : x
  2. Step 2: Convert to fraction form
    8,174.02/12,261.03 = 12,261.03/x
  3. Step 3: Cross multiply
    8,174.02x = 12,261.03 × 12,261.03
  4. Step 4: Simplify right side
    8,174.02x = 150,332,830.44
  5. Step 5: Solve for x
    x = 150,332,830.44/8,174.02
  6. Step 6: Final answer
    x = 18,391.54

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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.