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Finding the Third Proportional to 11,504.44 and 24,334.97

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Solution

The third proportional to 11,504.44 and 24,334.97 is: 51,474.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,504.44 : 24,334.97 = 24,334.97 : x
  2. Step 2: Convert to fraction form
    11,504.44/24,334.97 = 24,334.97/x
  3. Step 3: Cross multiply
    11,504.44x = 24,334.97 × 24,334.97
  4. Step 4: Simplify right side
    11,504.44x = 592,190,704.06
  5. Step 5: Solve for x
    x = 592,190,704.06/11,504.44
  6. Step 6: Final answer
    x = 51,474.98

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.