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Finding the Third Proportional to 41,013 and 66,969

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Solution

The third proportional to 41,013 and 66,969 is: 109,351.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,013 : 66,969 = 66,969 : x
  2. Step 2: Convert to fraction form
    41,013/66,969 = 66,969/x
  3. Step 3: Cross multiply
    41,013x = 66,969 × 66,969
  4. Step 4: Simplify right side
    41,013x = 4,484,846,961
  5. Step 5: Solve for x
    x = 4,484,846,961/41,013
  6. Step 6: Final answer
    x = 109,351.84

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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.