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Finding the Third Proportional to 4,212 and 6,926

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Solution

The third proportional to 4,212 and 6,926 is: 11,388.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,212 : 6,926 = 6,926 : x
  2. Step 2: Convert to fraction form
    4,212/6,926 = 6,926/x
  3. Step 3: Cross multiply
    4,212x = 6,926 × 6,926
  4. Step 4: Simplify right side
    4,212x = 47,969,476
  5. Step 5: Solve for x
    x = 47,969,476/4,212
  6. Step 6: Final answer
    x = 11,388.76

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.