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Finding the Third Proportional to 3,769 and 4,286

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Solution

The third proportional to 3,769 and 4,286 is: 4,873.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,769 : 4,286 = 4,286 : x
  2. Step 2: Convert to fraction form
    3,769/4,286 = 4,286/x
  3. Step 3: Cross multiply
    3,769x = 4,286 × 4,286
  4. Step 4: Simplify right side
    3,769x = 18,369,796
  5. Step 5: Solve for x
    x = 18,369,796/3,769
  6. Step 6: Final answer
    x = 4,873.92

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.