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Finding the Third Proportional to 11,824 and 19,208

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Solution

The third proportional to 11,824 and 19,208 is: 31,203.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,824 : 19,208 = 19,208 : x
  2. Step 2: Convert to fraction form
    11,824/19,208 = 19,208/x
  3. Step 3: Cross multiply
    11,824x = 19,208 × 19,208
  4. Step 4: Simplify right side
    11,824x = 368,947,264
  5. Step 5: Solve for x
    x = 368,947,264/11,824
  6. Step 6: Final answer
    x = 31,203.25

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.