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Finding the Third Proportional to 43,204 and 64,734

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Solution

The third proportional to 43,204 and 64,734 is: 96,993.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,204 : 64,734 = 64,734 : x
  2. Step 2: Convert to fraction form
    43,204/64,734 = 64,734/x
  3. Step 3: Cross multiply
    43,204x = 64,734 × 64,734
  4. Step 4: Simplify right side
    43,204x = 4,190,490,756
  5. Step 5: Solve for x
    x = 4,190,490,756/43,204
  6. Step 6: Final answer
    x = 96,993.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.