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Finding the Third Proportional to 11,823 and 16,533

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Solution

The third proportional to 11,823 and 16,533 is: 23,119.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,823 : 16,533 = 16,533 : x
  2. Step 2: Convert to fraction form
    11,823/16,533 = 16,533/x
  3. Step 3: Cross multiply
    11,823x = 16,533 × 16,533
  4. Step 4: Simplify right side
    11,823x = 273,340,089
  5. Step 5: Solve for x
    x = 273,340,089/11,823
  6. Step 6: Final answer
    x = 23,119.35

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.