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Finding the Third Proportional to 7,758 and 13,626

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Solution

The third proportional to 7,758 and 13,626 is: 23,932.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,758 : 13,626 = 13,626 : x
  2. Step 2: Convert to fraction form
    7,758/13,626 = 13,626/x
  3. Step 3: Cross multiply
    7,758x = 13,626 × 13,626
  4. Step 4: Simplify right side
    7,758x = 185,667,876
  5. Step 5: Solve for x
    x = 185,667,876/7,758
  6. Step 6: Final answer
    x = 23,932.44

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.