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Finding the Third Proportional to 20,233.50 and 30,632.44

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Solution

The third proportional to 20,233.50 and 30,632.44 is: 46,375.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,233.50 : 30,632.44 = 30,632.44 : x
  2. Step 2: Convert to fraction form
    20,233.50/30,632.44 = 30,632.44/x
  3. Step 3: Cross multiply
    20,233.50x = 30,632.44 × 30,632.44
  4. Step 4: Simplify right side
    20,233.50x = 938,346,227.19
  5. Step 5: Solve for x
    x = 938,346,227.19/20,233.50
  6. Step 6: Final answer
    x = 46,375.87

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.