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Finding the Third Proportional to 12,546 and 20,379

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Solution

The third proportional to 12,546 and 20,379 is: 33,102.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,546 : 20,379 = 20,379 : x
  2. Step 2: Convert to fraction form
    12,546/20,379 = 20,379/x
  3. Step 3: Cross multiply
    12,546x = 20,379 × 20,379
  4. Step 4: Simplify right side
    12,546x = 415,303,641
  5. Step 5: Solve for x
    x = 415,303,641/12,546
  6. Step 6: Final answer
    x = 33,102.47

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.