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Finding the Third Proportional to 9,469.41 and 17,754.19

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Solution

The third proportional to 9,469.41 and 17,754.19 is: 33,287.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,469.41 : 17,754.19 = 17,754.19 : x
  2. Step 2: Convert to fraction form
    9,469.41/17,754.19 = 17,754.19/x
  3. Step 3: Cross multiply
    9,469.41x = 17,754.19 × 17,754.19
  4. Step 4: Simplify right side
    9,469.41x = 315,211,173.79
  5. Step 5: Solve for x
    x = 315,211,173.79/9,469.41
  6. Step 6: Final answer
    x = 33,287.32

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.