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Finding the Third Proportional to 6,677.44 and 14,425.31

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Solution

The third proportional to 6,677.44 and 14,425.31 is: 31,163.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,677.44 : 14,425.31 = 14,425.31 : x
  2. Step 2: Convert to fraction form
    6,677.44/14,425.31 = 14,425.31/x
  3. Step 3: Cross multiply
    6,677.44x = 14,425.31 × 14,425.31
  4. Step 4: Simplify right side
    6,677.44x = 208,089,640.72
  5. Step 5: Solve for x
    x = 208,089,640.72/6,677.44
  6. Step 6: Final answer
    x = 31,163.10

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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.