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Finding the Third Proportional to 29,027 and 44,675

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Solution

The third proportional to 29,027 and 44,675 is: 68,758.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,027 : 44,675 = 44,675 : x
  2. Step 2: Convert to fraction form
    29,027/44,675 = 44,675/x
  3. Step 3: Cross multiply
    29,027x = 44,675 × 44,675
  4. Step 4: Simplify right side
    29,027x = 1,995,855,625
  5. Step 5: Solve for x
    x = 1,995,855,625/29,027
  6. Step 6: Final answer
    x = 68,758.59

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.