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Finding the Third Proportional to 4,946 and 11,930

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Solution

The third proportional to 4,946 and 11,930 is: 28,775.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,946 : 11,930 = 11,930 : x
  2. Step 2: Convert to fraction form
    4,946/11,930 = 11,930/x
  3. Step 3: Cross multiply
    4,946x = 11,930 × 11,930
  4. Step 4: Simplify right side
    4,946x = 142,324,900
  5. Step 5: Solve for x
    x = 142,324,900/4,946
  6. Step 6: Final answer
    x = 28,775.76

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.