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Finding the Third Proportional to 43,067 and 64,641

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Solution

The third proportional to 43,067 and 64,641 is: 97,022.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,067 : 64,641 = 64,641 : x
  2. Step 2: Convert to fraction form
    43,067/64,641 = 64,641/x
  3. Step 3: Cross multiply
    43,067x = 64,641 × 64,641
  4. Step 4: Simplify right side
    43,067x = 4,178,458,881
  5. Step 5: Solve for x
    x = 4,178,458,881/43,067
  6. Step 6: Final answer
    x = 97,022.29

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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.