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Finding the Third Proportional to 29,900 and 40,626

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Solution

The third proportional to 29,900 and 40,626 is: 55,199.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,900 : 40,626 = 40,626 : x
  2. Step 2: Convert to fraction form
    29,900/40,626 = 40,626/x
  3. Step 3: Cross multiply
    29,900x = 40,626 × 40,626
  4. Step 4: Simplify right side
    29,900x = 1,650,471,876
  5. Step 5: Solve for x
    x = 1,650,471,876/29,900
  6. Step 6: Final answer
    x = 55,199.73

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.