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Finding the Third Proportional to 12,016 and 19,194

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Solution

The third proportional to 12,016 and 19,194 is: 30,659.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,016 : 19,194 = 19,194 : x
  2. Step 2: Convert to fraction form
    12,016/19,194 = 19,194/x
  3. Step 3: Cross multiply
    12,016x = 19,194 × 19,194
  4. Step 4: Simplify right side
    12,016x = 368,409,636
  5. Step 5: Solve for x
    x = 368,409,636/12,016
  6. Step 6: Final answer
    x = 30,659.92

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.