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Finding the Third Proportional to 14,024 and 20,834

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Solution

The third proportional to 14,024 and 20,834 is: 30,950.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,024 : 20,834 = 20,834 : x
  2. Step 2: Convert to fraction form
    14,024/20,834 = 20,834/x
  3. Step 3: Cross multiply
    14,024x = 20,834 × 20,834
  4. Step 4: Simplify right side
    14,024x = 434,055,556
  5. Step 5: Solve for x
    x = 434,055,556/14,024
  6. Step 6: Final answer
    x = 30,950.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.