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Finding the Third Proportional to 32,844 and 50,230

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Solution

The third proportional to 32,844 and 50,230 is: 76,819.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,844 : 50,230 = 50,230 : x
  2. Step 2: Convert to fraction form
    32,844/50,230 = 50,230/x
  3. Step 3: Cross multiply
    32,844x = 50,230 × 50,230
  4. Step 4: Simplify right side
    32,844x = 2,523,052,900
  5. Step 5: Solve for x
    x = 2,523,052,900/32,844
  6. Step 6: Final answer
    x = 76,819.29

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.