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Finding the Third Proportional to 14,028 and 18,194

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Solution

The third proportional to 14,028 and 18,194 is: 23,597.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,028 : 18,194 = 18,194 : x
  2. Step 2: Convert to fraction form
    14,028/18,194 = 18,194/x
  3. Step 3: Cross multiply
    14,028x = 18,194 × 18,194
  4. Step 4: Simplify right side
    14,028x = 331,021,636
  5. Step 5: Solve for x
    x = 331,021,636/14,028
  6. Step 6: Final answer
    x = 23,597.21

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.