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Finding the Third Proportional to 4,108.22 and 5,853.94

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Solution

The third proportional to 4,108.22 and 5,853.94 is: 8,341.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,108.22 : 5,853.94 = 5,853.94 : x
  2. Step 2: Convert to fraction form
    4,108.22/5,853.94 = 5,853.94/x
  3. Step 3: Cross multiply
    4,108.22x = 5,853.94 × 5,853.94
  4. Step 4: Simplify right side
    4,108.22x = 34,268,584.25
  5. Step 5: Solve for x
    x = 34,268,584.25/4,108.22
  6. Step 6: Final answer
    x = 8,341.47

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.