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Finding the Third Proportional to 3,914 and 7,274

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Solution

The third proportional to 3,914 and 7,274 is: 13,518.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,914 : 7,274 = 7,274 : x
  2. Step 2: Convert to fraction form
    3,914/7,274 = 7,274/x
  3. Step 3: Cross multiply
    3,914x = 7,274 × 7,274
  4. Step 4: Simplify right side
    3,914x = 52,911,076
  5. Step 5: Solve for x
    x = 52,911,076/3,914
  6. Step 6: Final answer
    x = 13,518.41

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.