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Finding the Third Proportional to 11,447.38 and 23,771.69

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Solution

The third proportional to 11,447.38 and 23,771.69 is: 49,364.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,447.38 : 23,771.69 = 23,771.69 : x
  2. Step 2: Convert to fraction form
    11,447.38/23,771.69 = 23,771.69/x
  3. Step 3: Cross multiply
    11,447.38x = 23,771.69 × 23,771.69
  4. Step 4: Simplify right side
    11,447.38x = 565,093,126.60
  5. Step 5: Solve for x
    x = 565,093,126.60/11,447.38
  6. Step 6: Final answer
    x = 49,364.43

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.