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Finding the Third Proportional to 20,583.28 and 44,287.31

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Solution

The third proportional to 20,583.28 and 44,287.31 is: 95,289.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,583.28 : 44,287.31 = 44,287.31 : x
  2. Step 2: Convert to fraction form
    20,583.28/44,287.31 = 44,287.31/x
  3. Step 3: Cross multiply
    20,583.28x = 44,287.31 × 44,287.31
  4. Step 4: Simplify right side
    20,583.28x = 1,961,366,048.47
  5. Step 5: Solve for x
    x = 1,961,366,048.47/20,583.28
  6. Step 6: Final answer
    x = 95,289.28

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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.