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Finding the Third Proportional to 13,028 and 18,894

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Solution

The third proportional to 13,028 and 18,894 is: 27,401.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,028 : 18,894 = 18,894 : x
  2. Step 2: Convert to fraction form
    13,028/18,894 = 18,894/x
  3. Step 3: Cross multiply
    13,028x = 18,894 × 18,894
  4. Step 4: Simplify right side
    13,028x = 356,983,236
  5. Step 5: Solve for x
    x = 356,983,236/13,028
  6. Step 6: Final answer
    x = 27,401.23

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.