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Finding the Third Proportional to 6,823 and 10,235

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Solution

The third proportional to 6,823 and 10,235 is: 15,353.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,823 : 10,235 = 10,235 : x
  2. Step 2: Convert to fraction form
    6,823/10,235 = 10,235/x
  3. Step 3: Cross multiply
    6,823x = 10,235 × 10,235
  4. Step 4: Simplify right side
    6,823x = 104,755,225
  5. Step 5: Solve for x
    x = 104,755,225/6,823
  6. Step 6: Final answer
    x = 15,353.25

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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.