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Finding the Third Proportional to 14,622 and 33,477

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Solution

The third proportional to 14,622 and 33,477 is: 76,645.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,622 : 33,477 = 33,477 : x
  2. Step 2: Convert to fraction form
    14,622/33,477 = 33,477/x
  3. Step 3: Cross multiply
    14,622x = 33,477 × 33,477
  4. Step 4: Simplify right side
    14,622x = 1,120,709,529
  5. Step 5: Solve for x
    x = 1,120,709,529/14,622
  6. Step 6: Final answer
    x = 76,645.43

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Why These Related Problems?

These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.