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Finding the Third Proportional to 13,834 and 20,786

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Solution

The third proportional to 13,834 and 20,786 is: 31,231.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,834 : 20,786 = 20,786 : x
  2. Step 2: Convert to fraction form
    13,834/20,786 = 20,786/x
  3. Step 3: Cross multiply
    13,834x = 20,786 × 20,786
  4. Step 4: Simplify right side
    13,834x = 432,057,796
  5. Step 5: Solve for x
    x = 432,057,796/13,834
  6. Step 6: Final answer
    x = 31,231.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.