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Finding the Third Proportional to 11,941 and 28,087

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Solution

The third proportional to 11,941 and 28,087 is: 66,064.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,941 : 28,087 = 28,087 : x
  2. Step 2: Convert to fraction form
    11,941/28,087 = 28,087/x
  3. Step 3: Cross multiply
    11,941x = 28,087 × 28,087
  4. Step 4: Simplify right side
    11,941x = 788,879,569
  5. Step 5: Solve for x
    x = 788,879,569/11,941
  6. Step 6: Final answer
    x = 66,064.78

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.