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Finding the Third Proportional to 14,022 and 21,573

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Solution

The third proportional to 14,022 and 21,573 is: 33,190.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,022 : 21,573 = 21,573 : x
  2. Step 2: Convert to fraction form
    14,022/21,573 = 21,573/x
  3. Step 3: Cross multiply
    14,022x = 21,573 × 21,573
  4. Step 4: Simplify right side
    14,022x = 465,394,329
  5. Step 5: Solve for x
    x = 465,394,329/14,022
  6. Step 6: Final answer
    x = 33,190.30

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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.