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Finding the Third Proportional to 3,814 and 8,357

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Solution

The third proportional to 3,814 and 8,357 is: 18,311.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,814 : 8,357 = 8,357 : x
  2. Step 2: Convert to fraction form
    3,814/8,357 = 8,357/x
  3. Step 3: Cross multiply
    3,814x = 8,357 × 8,357
  4. Step 4: Simplify right side
    3,814x = 69,839,449
  5. Step 5: Solve for x
    x = 69,839,449/3,814
  6. Step 6: Final answer
    x = 18,311.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.