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Finding the Third Proportional to 7,682 and 13,888

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Solution

The third proportional to 7,682 and 13,888 is: 25,107.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,682 : 13,888 = 13,888 : x
  2. Step 2: Convert to fraction form
    7,682/13,888 = 13,888/x
  3. Step 3: Cross multiply
    7,682x = 13,888 × 13,888
  4. Step 4: Simplify right side
    7,682x = 192,876,544
  5. Step 5: Solve for x
    x = 192,876,544/7,682
  6. Step 6: Final answer
    x = 25,107.59

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Why These Related Problems?

These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.