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Finding the Third Proportional to 41,016 and 66,973

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Solution

The third proportional to 41,016 and 66,973 is: 109,356.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,016 : 66,973 = 66,973 : x
  2. Step 2: Convert to fraction form
    41,016/66,973 = 66,973/x
  3. Step 3: Cross multiply
    41,016x = 66,973 × 66,973
  4. Step 4: Simplify right side
    41,016x = 4,485,382,729
  5. Step 5: Solve for x
    x = 4,485,382,729/41,016
  6. Step 6: Final answer
    x = 109,356.90

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.