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Finding the Third Proportional to 43,673 and 69,266

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Solution

The third proportional to 43,673 and 69,266 is: 109,856.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,673 : 69,266 = 69,266 : x
  2. Step 2: Convert to fraction form
    43,673/69,266 = 69,266/x
  3. Step 3: Cross multiply
    43,673x = 69,266 × 69,266
  4. Step 4: Simplify right side
    43,673x = 4,797,778,756
  5. Step 5: Solve for x
    x = 4,797,778,756/43,673
  6. Step 6: Final answer
    x = 109,856.86

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.