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Finding the Third Proportional to 9,682 and 14,800

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Solution

The third proportional to 9,682 and 14,800 is: 22,623.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,682 : 14,800 = 14,800 : x
  2. Step 2: Convert to fraction form
    9,682/14,800 = 14,800/x
  3. Step 3: Cross multiply
    9,682x = 14,800 × 14,800
  4. Step 4: Simplify right side
    9,682x = 219,040,000
  5. Step 5: Solve for x
    x = 219,040,000/9,682
  6. Step 6: Final answer
    x = 22,623.42

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.