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Finding the Third Proportional to 11,940 and 24,609

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Solution

The third proportional to 11,940 and 24,609 is: 50,720.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,940 : 24,609 = 24,609 : x
  2. Step 2: Convert to fraction form
    11,940/24,609 = 24,609/x
  3. Step 3: Cross multiply
    11,940x = 24,609 × 24,609
  4. Step 4: Simplify right side
    11,940x = 605,602,881
  5. Step 5: Solve for x
    x = 605,602,881/11,940
  6. Step 6: Final answer
    x = 50,720.51

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.