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Finding the Third Proportional to 3,434 and 5,167

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Solution

The third proportional to 3,434 and 5,167 is: 7,774.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,434 : 5,167 = 5,167 : x
  2. Step 2: Convert to fraction form
    3,434/5,167 = 5,167/x
  3. Step 3: Cross multiply
    3,434x = 5,167 × 5,167
  4. Step 4: Simplify right side
    3,434x = 26,697,889
  5. Step 5: Solve for x
    x = 26,697,889/3,434
  6. Step 6: Final answer
    x = 7,774.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.