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Finding the Third Proportional to 20,478.75 and 30,906.38

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Solution

The third proportional to 20,478.75 and 30,906.38 is: 46,643.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,478.75 : 30,906.38 = 30,906.38 : x
  2. Step 2: Convert to fraction form
    20,478.75/30,906.38 = 30,906.38/x
  3. Step 3: Cross multiply
    20,478.75x = 30,906.38 × 30,906.38
  4. Step 4: Simplify right side
    20,478.75x = 955,204,015.64
  5. Step 5: Solve for x
    x = 955,204,015.64/20,478.75
  6. Step 6: Final answer
    x = 46,643.67

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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.