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Finding the Third Proportional to 4,194 and 8,994

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Solution

The third proportional to 4,194 and 8,994 is: 19,287.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,194 : 8,994 = 8,994 : x
  2. Step 2: Convert to fraction form
    4,194/8,994 = 8,994/x
  3. Step 3: Cross multiply
    4,194x = 8,994 × 8,994
  4. Step 4: Simplify right side
    4,194x = 80,892,036
  5. Step 5: Solve for x
    x = 80,892,036/4,194
  6. Step 6: Final answer
    x = 19,287.56

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.