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Finding the Third Proportional to 4,301.44 and 6,843.94

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Solution

The third proportional to 4,301.44 and 6,843.94 is: 10,889.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,301.44 : 6,843.94 = 6,843.94 : x
  2. Step 2: Convert to fraction form
    4,301.44/6,843.94 = 6,843.94/x
  3. Step 3: Cross multiply
    4,301.44x = 6,843.94 × 6,843.94
  4. Step 4: Simplify right side
    4,301.44x = 46,839,480.50
  5. Step 5: Solve for x
    x = 46,839,480.50/4,301.44
  6. Step 6: Final answer
    x = 10,889.26

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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.