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Finding the Third Proportional to 13,767 and 30,274

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Solution

The third proportional to 13,767 and 30,274 is: 66,573.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,767 : 30,274 = 30,274 : x
  2. Step 2: Convert to fraction form
    13,767/30,274 = 30,274/x
  3. Step 3: Cross multiply
    13,767x = 30,274 × 30,274
  4. Step 4: Simplify right side
    13,767x = 916,515,076
  5. Step 5: Solve for x
    x = 916,515,076/13,767
  6. Step 6: Final answer
    x = 66,573.33

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.