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Finding the Third Proportional to 12,000.38 and 25,777.69

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Solution

The third proportional to 12,000.38 and 25,777.69 is: 55,372.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,000.38 : 25,777.69 = 25,777.69 : x
  2. Step 2: Convert to fraction form
    12,000.38/25,777.69 = 25,777.69/x
  3. Step 3: Cross multiply
    12,000.38x = 25,777.69 × 25,777.69
  4. Step 4: Simplify right side
    12,000.38x = 664,489,172.85
  5. Step 5: Solve for x
    x = 664,489,172.85/12,000.38
  6. Step 6: Final answer
    x = 55,372.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.