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Finding the Third Proportional to 19,014 and 27,834

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Solution

The third proportional to 19,014 and 27,834 is: 40,745.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,014 : 27,834 = 27,834 : x
  2. Step 2: Convert to fraction form
    19,014/27,834 = 27,834/x
  3. Step 3: Cross multiply
    19,014x = 27,834 × 27,834
  4. Step 4: Simplify right side
    19,014x = 774,731,556
  5. Step 5: Solve for x
    x = 774,731,556/19,014
  6. Step 6: Final answer
    x = 40,745.32

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.