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Finding the Third Proportional to 6,858 and 10,257

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Solution

The third proportional to 6,858 and 10,257 is: 15,340.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,858 : 10,257 = 10,257 : x
  2. Step 2: Convert to fraction form
    6,858/10,257 = 10,257/x
  3. Step 3: Cross multiply
    6,858x = 10,257 × 10,257
  4. Step 4: Simplify right side
    6,858x = 105,206,049
  5. Step 5: Solve for x
    x = 105,206,049/6,858
  6. Step 6: Final answer
    x = 15,340.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.