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Finding the Third Proportional to 11,824 and 17,682

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Solution

The third proportional to 11,824 and 17,682 is: 26,442.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,824 : 17,682 = 17,682 : x
  2. Step 2: Convert to fraction form
    11,824/17,682 = 17,682/x
  3. Step 3: Cross multiply
    11,824x = 17,682 × 17,682
  4. Step 4: Simplify right side
    11,824x = 312,653,124
  5. Step 5: Solve for x
    x = 312,653,124/11,824
  6. Step 6: Final answer
    x = 26,442.25

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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.