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Finding the Third Proportional to 19,881 and 28,093

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Solution

The third proportional to 19,881 and 28,093 is: 39,697.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,881 : 28,093 = 28,093 : x
  2. Step 2: Convert to fraction form
    19,881/28,093 = 28,093/x
  3. Step 3: Cross multiply
    19,881x = 28,093 × 28,093
  4. Step 4: Simplify right side
    19,881x = 789,216,649
  5. Step 5: Solve for x
    x = 789,216,649/19,881
  6. Step 6: Final answer
    x = 39,697.03

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.