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Finding the Third Proportional to 4,194 and 9,213

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Solution

The third proportional to 4,194 and 9,213 is: 20,238.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,194 : 9,213 = 9,213 : x
  2. Step 2: Convert to fraction form
    4,194/9,213 = 9,213/x
  3. Step 3: Cross multiply
    4,194x = 9,213 × 9,213
  4. Step 4: Simplify right side
    4,194x = 84,879,369
  5. Step 5: Solve for x
    x = 84,879,369/4,194
  6. Step 6: Final answer
    x = 20,238.29

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.