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Finding the Third Proportional to 11,823 and 12,921

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Solution

The third proportional to 11,823 and 12,921 is: 14,120.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,823 : 12,921 = 12,921 : x
  2. Step 2: Convert to fraction form
    11,823/12,921 = 12,921/x
  3. Step 3: Cross multiply
    11,823x = 12,921 × 12,921
  4. Step 4: Simplify right side
    11,823x = 166,952,241
  5. Step 5: Solve for x
    x = 166,952,241/11,823
  6. Step 6: Final answer
    x = 14,120.97

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.