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Finding the Third Proportional to 19,638.75 and 27,765.75

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Solution

The third proportional to 19,638.75 and 27,765.75 is: 39,255.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,638.75 : 27,765.75 = 27,765.75 : x
  2. Step 2: Convert to fraction form
    19,638.75/27,765.75 = 27,765.75/x
  3. Step 3: Cross multiply
    19,638.75x = 27,765.75 × 27,765.75
  4. Step 4: Simplify right side
    19,638.75x = 770,936,873.06
  5. Step 5: Solve for x
    x = 770,936,873.06/19,638.75
  6. Step 6: Final answer
    x = 39,255.90

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