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Finding the Third Proportional to 18,336 and 20,384

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Solution

The third proportional to 18,336 and 20,384 is: 22,660.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,336 : 20,384 = 20,384 : x
  2. Step 2: Convert to fraction form
    18,336/20,384 = 20,384/x
  3. Step 3: Cross multiply
    18,336x = 20,384 × 20,384
  4. Step 4: Simplify right side
    18,336x = 415,507,456
  5. Step 5: Solve for x
    x = 415,507,456/18,336
  6. Step 6: Final answer
    x = 22,660.75

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.