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Finding the Third Proportional to 3,194 and 3,842

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Solution

The third proportional to 3,194 and 3,842 is: 4,621.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,194 : 3,842 = 3,842 : x
  2. Step 2: Convert to fraction form
    3,194/3,842 = 3,842/x
  3. Step 3: Cross multiply
    3,194x = 3,842 × 3,842
  4. Step 4: Simplify right side
    3,194x = 14,760,964
  5. Step 5: Solve for x
    x = 14,760,964/3,194
  6. Step 6: Final answer
    x = 4,621.47

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.