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Finding the Third Proportional to 19,941 and 27,093.50

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Solution

The third proportional to 19,941 and 27,093.50 is: 36,811.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,941 : 27,093.50 = 27,093.50 : x
  2. Step 2: Convert to fraction form
    19,941/27,093.50 = 27,093.50/x
  3. Step 3: Cross multiply
    19,941x = 27,093.50 × 27,093.50
  4. Step 4: Simplify right side
    19,941x = 734,057,742.25
  5. Step 5: Solve for x
    x = 734,057,742.25/19,941
  6. Step 6: Final answer
    x = 36,811.48

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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.