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Finding the Third Proportional to 11,976 and 24,546

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Solution

The third proportional to 11,976 and 24,546 is: 50,309.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,976 : 24,546 = 24,546 : x
  2. Step 2: Convert to fraction form
    11,976/24,546 = 24,546/x
  3. Step 3: Cross multiply
    11,976x = 24,546 × 24,546
  4. Step 4: Simplify right side
    11,976x = 602,506,116
  5. Step 5: Solve for x
    x = 602,506,116/11,976
  6. Step 6: Final answer
    x = 50,309.46

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.