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Finding the Third Proportional to 29,772 and 44,626

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Solution

The third proportional to 29,772 and 44,626 is: 66,891.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,772 : 44,626 = 44,626 : x
  2. Step 2: Convert to fraction form
    29,772/44,626 = 44,626/x
  3. Step 3: Cross multiply
    29,772x = 44,626 × 44,626
  4. Step 4: Simplify right side
    29,772x = 1,991,479,876
  5. Step 5: Solve for x
    x = 1,991,479,876/29,772
  6. Step 6: Final answer
    x = 66,891.03

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Why These Related Problems?

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