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Finding the Third Proportional to 19,797.75 and 39,919.50

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Solution

The third proportional to 19,797.75 and 39,919.50 is: 80,492.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,797.75 : 39,919.50 = 39,919.50 : x
  2. Step 2: Convert to fraction form
    19,797.75/39,919.50 = 39,919.50/x
  3. Step 3: Cross multiply
    19,797.75x = 39,919.50 × 39,919.50
  4. Step 4: Simplify right side
    19,797.75x = 1,593,566,480.25
  5. Step 5: Solve for x
    x = 1,593,566,480.25/19,797.75
  6. Step 6: Final answer
    x = 80,492.30

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These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.