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Finding the Third Proportional to 3,814 and 4,174

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Solution

The third proportional to 3,814 and 4,174 is: 4,567.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,814 : 4,174 = 4,174 : x
  2. Step 2: Convert to fraction form
    3,814/4,174 = 4,174/x
  3. Step 3: Cross multiply
    3,814x = 4,174 × 4,174
  4. Step 4: Simplify right side
    3,814x = 17,422,276
  5. Step 5: Solve for x
    x = 17,422,276/3,814
  6. Step 6: Final answer
    x = 4,567.98

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.