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Finding the Third Proportional to 19,759.50 and 41,017.50

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Solution

The third proportional to 19,759.50 and 41,017.50 is: 85,145.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,759.50 : 41,017.50 = 41,017.50 : x
  2. Step 2: Convert to fraction form
    19,759.50/41,017.50 = 41,017.50/x
  3. Step 3: Cross multiply
    19,759.50x = 41,017.50 × 41,017.50
  4. Step 4: Simplify right side
    19,759.50x = 1,682,435,306.25
  5. Step 5: Solve for x
    x = 1,682,435,306.25/19,759.50
  6. Step 6: Final answer
    x = 85,145.64

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.