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Finding the Third Proportional to 20,811.94 and 44,947.41

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Solution

The third proportional to 20,811.94 and 44,947.41 is: 97,072.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,811.94 : 44,947.41 = 44,947.41 : x
  2. Step 2: Convert to fraction form
    20,811.94/44,947.41 = 44,947.41/x
  3. Step 3: Cross multiply
    20,811.94x = 44,947.41 × 44,947.41
  4. Step 4: Simplify right side
    20,811.94x = 2,020,269,328.60
  5. Step 5: Solve for x
    x = 2,020,269,328.60/20,811.94
  6. Step 6: Final answer
    x = 97,072.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.