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Finding the Third Proportional to 20,165.20 and 43,828.59

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Solution

The third proportional to 20,165.20 and 43,828.59 is: 95,260.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,165.20 : 43,828.59 = 43,828.59 : x
  2. Step 2: Convert to fraction form
    20,165.20/43,828.59 = 43,828.59/x
  3. Step 3: Cross multiply
    20,165.20x = 43,828.59 × 43,828.59
  4. Step 4: Simplify right side
    20,165.20x = 1,920,945,630.10
  5. Step 5: Solve for x
    x = 1,920,945,630.10/20,165.20
  6. Step 6: Final answer
    x = 95,260.42

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.