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Finding the Third Proportional to 8,232 and 16,212

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Solution

The third proportional to 8,232 and 16,212 is: 31,927.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,232 : 16,212 = 16,212 : x
  2. Step 2: Convert to fraction form
    8,232/16,212 = 16,212/x
  3. Step 3: Cross multiply
    8,232x = 16,212 × 16,212
  4. Step 4: Simplify right side
    8,232x = 262,828,944
  5. Step 5: Solve for x
    x = 262,828,944/8,232
  6. Step 6: Final answer
    x = 31,927.71

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.