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Finding the Third Proportional to 57,383.44 and 80,665.03

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Solution

The third proportional to 57,383.44 and 80,665.03 is: 113,392.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,383.44 : 80,665.03 = 80,665.03 : x
  2. Step 2: Convert to fraction form
    57,383.44/80,665.03 = 80,665.03/x
  3. Step 3: Cross multiply
    57,383.44x = 80,665.03 × 80,665.03
  4. Step 4: Simplify right side
    57,383.44x = 6,506,847,266.56
  5. Step 5: Solve for x
    x = 6,506,847,266.56/57,383.44
  6. Step 6: Final answer
    x = 113,392.43

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.