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Finding the Third Proportional to 20,194.50 and 30,998.25

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Solution

The third proportional to 20,194.50 and 30,998.25 is: 47,581.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,194.50 : 30,998.25 = 30,998.25 : x
  2. Step 2: Convert to fraction form
    20,194.50/30,998.25 = 30,998.25/x
  3. Step 3: Cross multiply
    20,194.50x = 30,998.25 × 30,998.25
  4. Step 4: Simplify right side
    20,194.50x = 960,891,503.06
  5. Step 5: Solve for x
    x = 960,891,503.06/20,194.50
  6. Step 6: Final answer
    x = 47,581.84

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.