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Finding the Third Proportional to 6,324.19 and 13,858.31

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Solution

The third proportional to 6,324.19 and 13,858.31 is: 30,367.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,324.19 : 13,858.31 = 13,858.31 : x
  2. Step 2: Convert to fraction form
    6,324.19/13,858.31 = 13,858.31/x
  3. Step 3: Cross multiply
    6,324.19x = 13,858.31 × 13,858.31
  4. Step 4: Simplify right side
    6,324.19x = 192,052,825.35
  5. Step 5: Solve for x
    x = 192,052,825.35/6,324.19
  6. Step 6: Final answer
    x = 30,367.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.