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Finding the Third Proportional to 11,772 and 16,733

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Solution

The third proportional to 11,772 and 16,733 is: 23,784.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,772 : 16,733 = 16,733 : x
  2. Step 2: Convert to fraction form
    11,772/16,733 = 16,733/x
  3. Step 3: Cross multiply
    11,772x = 16,733 × 16,733
  4. Step 4: Simplify right side
    11,772x = 279,993,289
  5. Step 5: Solve for x
    x = 279,993,289/11,772
  6. Step 6: Final answer
    x = 23,784.68

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.