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Finding the Third Proportional to 39,083.34 and 79,546.78

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Solution

The third proportional to 39,083.34 and 79,546.78 is: 161,902.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,083.34 : 79,546.78 = 79,546.78 : x
  2. Step 2: Convert to fraction form
    39,083.34/79,546.78 = 79,546.78/x
  3. Step 3: Cross multiply
    39,083.34x = 79,546.78 × 79,546.78
  4. Step 4: Simplify right side
    39,083.34x = 6,327,690,407.24
  5. Step 5: Solve for x
    x = 6,327,690,407.24/39,083.34
  6. Step 6: Final answer
    x = 161,902.48

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.