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Finding the Third Proportional to 6,823 and 14,686

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Solution

The third proportional to 6,823 and 14,686 is: 31,610.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,823 : 14,686 = 14,686 : x
  2. Step 2: Convert to fraction form
    6,823/14,686 = 14,686/x
  3. Step 3: Cross multiply
    6,823x = 14,686 × 14,686
  4. Step 4: Simplify right side
    6,823x = 215,678,596
  5. Step 5: Solve for x
    x = 215,678,596/6,823
  6. Step 6: Final answer
    x = 31,610.52

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.