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Finding the Third Proportional to 16,530 and 21,927

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Solution

The third proportional to 16,530 and 21,927 is: 29,086.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,530 : 21,927 = 21,927 : x
  2. Step 2: Convert to fraction form
    16,530/21,927 = 21,927/x
  3. Step 3: Cross multiply
    16,530x = 21,927 × 21,927
  4. Step 4: Simplify right side
    16,530x = 480,793,329
  5. Step 5: Solve for x
    x = 480,793,329/16,530
  6. Step 6: Final answer
    x = 29,086.11

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.