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Finding the Third Proportional to 28,108 and 41,731

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Solution

The third proportional to 28,108 and 41,731 is: 61,956.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,108 : 41,731 = 41,731 : x
  2. Step 2: Convert to fraction form
    28,108/41,731 = 41,731/x
  3. Step 3: Cross multiply
    28,108x = 41,731 × 41,731
  4. Step 4: Simplify right side
    28,108x = 1,741,476,361
  5. Step 5: Solve for x
    x = 1,741,476,361/28,108
  6. Step 6: Final answer
    x = 61,956.61

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.