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Finding the Third Proportional to 23,920 and 51,112

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Solution

The third proportional to 23,920 and 51,112 is: 109,215.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,920 : 51,112 = 51,112 : x
  2. Step 2: Convert to fraction form
    23,920/51,112 = 51,112/x
  3. Step 3: Cross multiply
    23,920x = 51,112 × 51,112
  4. Step 4: Simplify right side
    23,920x = 2,612,436,544
  5. Step 5: Solve for x
    x = 2,612,436,544/23,920
  6. Step 6: Final answer
    x = 109,215.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.