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Finding the Third Proportional to 23,680 and 26,848

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Solution

The third proportional to 23,680 and 26,848 is: 30,439.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,680 : 26,848 = 26,848 : x
  2. Step 2: Convert to fraction form
    23,680/26,848 = 26,848/x
  3. Step 3: Cross multiply
    23,680x = 26,848 × 26,848
  4. Step 4: Simplify right side
    23,680x = 720,815,104
  5. Step 5: Solve for x
    x = 720,815,104/23,680
  6. Step 6: Final answer
    x = 30,439.83

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.