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Finding the Third Proportional to 12,208 and 19,896

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Solution

The third proportional to 12,208 and 19,896 is: 32,425.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,208 : 19,896 = 19,896 : x
  2. Step 2: Convert to fraction form
    12,208/19,896 = 19,896/x
  3. Step 3: Cross multiply
    12,208x = 19,896 × 19,896
  4. Step 4: Simplify right side
    12,208x = 395,850,816
  5. Step 5: Solve for x
    x = 395,850,816/12,208
  6. Step 6: Final answer
    x = 32,425.53

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.