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Finding the Third Proportional to 20,671 and 30,947

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Solution

The third proportional to 20,671 and 30,947 is: 46,331.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,671 : 30,947 = 30,947 : x
  2. Step 2: Convert to fraction form
    20,671/30,947 = 30,947/x
  3. Step 3: Cross multiply
    20,671x = 30,947 × 30,947
  4. Step 4: Simplify right side
    20,671x = 957,716,809
  5. Step 5: Solve for x
    x = 957,716,809/20,671
  6. Step 6: Final answer
    x = 46,331.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.