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Finding the Third Proportional to 11,692 and 18,830

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Solution

The third proportional to 11,692 and 18,830 is: 30,325.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,692 : 18,830 = 18,830 : x
  2. Step 2: Convert to fraction form
    11,692/18,830 = 18,830/x
  3. Step 3: Cross multiply
    11,692x = 18,830 × 18,830
  4. Step 4: Simplify right side
    11,692x = 354,568,900
  5. Step 5: Solve for x
    x = 354,568,900/11,692
  6. Step 6: Final answer
    x = 30,325.77

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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.