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Finding the Third Proportional to 32,158 and 50,296

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Solution

The third proportional to 32,158 and 50,296 is: 78,664.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,158 : 50,296 = 50,296 : x
  2. Step 2: Convert to fraction form
    32,158/50,296 = 50,296/x
  3. Step 3: Cross multiply
    32,158x = 50,296 × 50,296
  4. Step 4: Simplify right side
    32,158x = 2,529,687,616
  5. Step 5: Solve for x
    x = 2,529,687,616/32,158
  6. Step 6: Final answer
    x = 78,664.33

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.