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Finding the Third Proportional to 13,174.50 and 23,425

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Solution

The third proportional to 13,174.50 and 23,425 is: 41,650.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,174.50 : 23,425 = 23,425 : x
  2. Step 2: Convert to fraction form
    13,174.50/23,425 = 23,425/x
  3. Step 3: Cross multiply
    13,174.50x = 23,425 × 23,425
  4. Step 4: Simplify right side
    13,174.50x = 548,730,625
  5. Step 5: Solve for x
    x = 548,730,625/13,174.50
  6. Step 6: Final answer
    x = 41,650.96

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.