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Finding the Third Proportional to 29,667 and 44,626.50

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Solution

The third proportional to 29,667 and 44,626.50 is: 67,129.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,667 : 44,626.50 = 44,626.50 : x
  2. Step 2: Convert to fraction form
    29,667/44,626.50 = 44,626.50/x
  3. Step 3: Cross multiply
    29,667x = 44,626.50 × 44,626.50
  4. Step 4: Simplify right side
    29,667x = 1,991,524,502.25
  5. Step 5: Solve for x
    x = 1,991,524,502.25/29,667
  6. Step 6: Final answer
    x = 67,129.29

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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.