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Finding the Third Proportional to 7,794 and 12,257

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Solution

The third proportional to 7,794 and 12,257 is: 19,275.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,794 : 12,257 = 12,257 : x
  2. Step 2: Convert to fraction form
    7,794/12,257 = 12,257/x
  3. Step 3: Cross multiply
    7,794x = 12,257 × 12,257
  4. Step 4: Simplify right side
    7,794x = 150,234,049
  5. Step 5: Solve for x
    x = 150,234,049/7,794
  6. Step 6: Final answer
    x = 19,275.60

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.