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Finding the Third Proportional to 11,704.50 and 18,640.13

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Solution

The third proportional to 11,704.50 and 18,640.13 is: 29,685.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,704.50 : 18,640.13 = 18,640.13 : x
  2. Step 2: Convert to fraction form
    11,704.50/18,640.13 = 18,640.13/x
  3. Step 3: Cross multiply
    11,704.50x = 18,640.13 × 18,640.13
  4. Step 4: Simplify right side
    11,704.50x = 347,454,260.02
  5. Step 5: Solve for x
    x = 347,454,260.02/11,704.50
  6. Step 6: Final answer
    x = 29,685.53

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.