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Finding the Third Proportional to 13,704.94 and 29,524.69

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Solution

The third proportional to 13,704.94 and 29,524.69 is: 63,605.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,704.94 : 29,524.69 = 29,524.69 : x
  2. Step 2: Convert to fraction form
    13,704.94/29,524.69 = 29,524.69/x
  3. Step 3: Cross multiply
    13,704.94x = 29,524.69 × 29,524.69
  4. Step 4: Simplify right side
    13,704.94x = 871,707,171.97
  5. Step 5: Solve for x
    x = 871,707,171.97/13,704.94
  6. Step 6: Final answer
    x = 63,605.34

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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.