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Finding the Third Proportional to 20,264 and 43,649.50

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Solution

The third proportional to 20,264 and 43,649.50 is: 94,022.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,264 : 43,649.50 = 43,649.50 : x
  2. Step 2: Convert to fraction form
    20,264/43,649.50 = 43,649.50/x
  3. Step 3: Cross multiply
    20,264x = 43,649.50 × 43,649.50
  4. Step 4: Simplify right side
    20,264x = 1,905,278,850.25
  5. Step 5: Solve for x
    x = 1,905,278,850.25/20,264
  6. Step 6: Final answer
    x = 94,022.84

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.