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Finding the Third Proportional to 12,664 and 27,274

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Solution

The third proportional to 12,664 and 27,274 is: 58,739.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,664 : 27,274 = 27,274 : x
  2. Step 2: Convert to fraction form
    12,664/27,274 = 27,274/x
  3. Step 3: Cross multiply
    12,664x = 27,274 × 27,274
  4. Step 4: Simplify right side
    12,664x = 743,871,076
  5. Step 5: Solve for x
    x = 743,871,076/12,664
  6. Step 6: Final answer
    x = 58,739.03

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.