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Finding the Third Proportional to 44,067 and 65,907

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Solution

The third proportional to 44,067 and 65,907 is: 98,571.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,067 : 65,907 = 65,907 : x
  2. Step 2: Convert to fraction form
    44,067/65,907 = 65,907/x
  3. Step 3: Cross multiply
    44,067x = 65,907 × 65,907
  4. Step 4: Simplify right side
    44,067x = 4,343,732,649
  5. Step 5: Solve for x
    x = 4,343,732,649/44,067
  6. Step 6: Final answer
    x = 98,571.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.