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Finding the Third Proportional to 3,814 and 8,175

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Solution

The third proportional to 3,814 and 8,175 is: 17,522.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,814 : 8,175 = 8,175 : x
  2. Step 2: Convert to fraction form
    3,814/8,175 = 8,175/x
  3. Step 3: Cross multiply
    3,814x = 8,175 × 8,175
  4. Step 4: Simplify right side
    3,814x = 66,830,625
  5. Step 5: Solve for x
    x = 66,830,625/3,814
  6. Step 6: Final answer
    x = 17,522.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.