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Finding the Third Proportional to 8,402 and 11,823

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Solution

The third proportional to 8,402 and 11,823 is: 16,636.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,402 : 11,823 = 11,823 : x
  2. Step 2: Convert to fraction form
    8,402/11,823 = 11,823/x
  3. Step 3: Cross multiply
    8,402x = 11,823 × 11,823
  4. Step 4: Simplify right side
    8,402x = 139,783,329
  5. Step 5: Solve for x
    x = 139,783,329/8,402
  6. Step 6: Final answer
    x = 16,636.91

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.