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Finding the Third Proportional to 12,004 and 18,422

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Solution

The third proportional to 12,004 and 18,422 is: 28,271.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,004 : 18,422 = 18,422 : x
  2. Step 2: Convert to fraction form
    12,004/18,422 = 18,422/x
  3. Step 3: Cross multiply
    12,004x = 18,422 × 18,422
  4. Step 4: Simplify right side
    12,004x = 339,370,084
  5. Step 5: Solve for x
    x = 339,370,084/12,004
  6. Step 6: Final answer
    x = 28,271.42

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.