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Finding the Third Proportional to 11,920 and 26,868

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Solution

The third proportional to 11,920 and 26,868 is: 60,561.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,920 : 26,868 = 26,868 : x
  2. Step 2: Convert to fraction form
    11,920/26,868 = 26,868/x
  3. Step 3: Cross multiply
    11,920x = 26,868 × 26,868
  4. Step 4: Simplify right side
    11,920x = 721,889,424
  5. Step 5: Solve for x
    x = 721,889,424/11,920
  6. Step 6: Final answer
    x = 60,561.19

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.