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Finding the Third Proportional to 3,908 and 10,274

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Solution

The third proportional to 3,908 and 10,274 is: 27,010.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,908 : 10,274 = 10,274 : x
  2. Step 2: Convert to fraction form
    3,908/10,274 = 10,274/x
  3. Step 3: Cross multiply
    3,908x = 10,274 × 10,274
  4. Step 4: Simplify right side
    3,908x = 105,555,076
  5. Step 5: Solve for x
    x = 105,555,076/3,908
  6. Step 6: Final answer
    x = 27,010.00

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Why These Related Problems?

These problems maintain the same ratio (2.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.