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Finding the Third Proportional to 6,184 and 14,194

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Solution

The third proportional to 6,184 and 14,194 is: 32,579.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,184 : 14,194 = 14,194 : x
  2. Step 2: Convert to fraction form
    6,184/14,194 = 14,194/x
  3. Step 3: Cross multiply
    6,184x = 14,194 × 14,194
  4. Step 4: Simplify right side
    6,184x = 201,469,636
  5. Step 5: Solve for x
    x = 201,469,636/6,184
  6. Step 6: Final answer
    x = 32,579.18

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.