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Finding the Third Proportional to 2,186.44 and 4,722.19

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Solution

The third proportional to 2,186.44 and 4,722.19 is: 10,198.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,186.44 : 4,722.19 = 4,722.19 : x
  2. Step 2: Convert to fraction form
    2,186.44/4,722.19 = 4,722.19/x
  3. Step 3: Cross multiply
    2,186.44x = 4,722.19 × 4,722.19
  4. Step 4: Simplify right side
    2,186.44x = 22,299,054.79
  5. Step 5: Solve for x
    x = 22,299,054.79/2,186.44
  6. Step 6: Final answer
    x = 10,198.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.