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Finding the Third Proportional to 19,651.50 and 40,209.75

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Solution

The third proportional to 19,651.50 and 40,209.75 is: 82,274.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,651.50 : 40,209.75 = 40,209.75 : x
  2. Step 2: Convert to fraction form
    19,651.50/40,209.75 = 40,209.75/x
  3. Step 3: Cross multiply
    19,651.50x = 40,209.75 × 40,209.75
  4. Step 4: Simplify right side
    19,651.50x = 1,616,823,995.06
  5. Step 5: Solve for x
    x = 1,616,823,995.06/19,651.50
  6. Step 6: Final answer
    x = 82,274.84

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.