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Finding the Third Proportional to 9,006 and 19,422

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Solution

The third proportional to 9,006 and 19,422 is: 41,884.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,006 : 19,422 = 19,422 : x
  2. Step 2: Convert to fraction form
    9,006/19,422 = 19,422/x
  3. Step 3: Cross multiply
    9,006x = 19,422 × 19,422
  4. Step 4: Simplify right side
    9,006x = 377,214,084
  5. Step 5: Solve for x
    x = 377,214,084/9,006
  6. Step 6: Final answer
    x = 41,884.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.