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Finding the Third Proportional to 11,682 and 18,792

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Solution

The third proportional to 11,682 and 18,792 is: 30,229.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,682 : 18,792 = 18,792 : x
  2. Step 2: Convert to fraction form
    11,682/18,792 = 18,792/x
  3. Step 3: Cross multiply
    11,682x = 18,792 × 18,792
  4. Step 4: Simplify right side
    11,682x = 353,139,264
  5. Step 5: Solve for x
    x = 353,139,264/11,682
  6. Step 6: Final answer
    x = 30,229.35

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.