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Finding the Third Proportional to 29,664 and 44,622

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Solution

The third proportional to 29,664 and 44,622 is: 67,122.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,664 : 44,622 = 44,622 : x
  2. Step 2: Convert to fraction form
    29,664/44,622 = 44,622/x
  3. Step 3: Cross multiply
    29,664x = 44,622 × 44,622
  4. Step 4: Simplify right side
    29,664x = 1,991,122,884
  5. Step 5: Solve for x
    x = 1,991,122,884/29,664
  6. Step 6: Final answer
    x = 67,122.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.