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Finding the Third Proportional to 18,794 and 29,021

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Solution

The third proportional to 18,794 and 29,021 is: 44,813.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,794 : 29,021 = 29,021 : x
  2. Step 2: Convert to fraction form
    18,794/29,021 = 29,021/x
  3. Step 3: Cross multiply
    18,794x = 29,021 × 29,021
  4. Step 4: Simplify right side
    18,794x = 842,218,441
  5. Step 5: Solve for x
    x = 842,218,441/18,794
  6. Step 6: Final answer
    x = 44,813.16

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.