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Finding the Third Proportional to 11,920 and 23,540

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Solution

The third proportional to 11,920 and 23,540 is: 46,487.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,920 : 23,540 = 23,540 : x
  2. Step 2: Convert to fraction form
    11,920/23,540 = 23,540/x
  3. Step 3: Cross multiply
    11,920x = 23,540 × 23,540
  4. Step 4: Simplify right side
    11,920x = 554,131,600
  5. Step 5: Solve for x
    x = 554,131,600/11,920
  6. Step 6: Final answer
    x = 46,487.55

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.