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Finding the Third Proportional to 29,620 and 44,338

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Solution

The third proportional to 29,620 and 44,338 is: 66,369.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,620 : 44,338 = 44,338 : x
  2. Step 2: Convert to fraction form
    29,620/44,338 = 44,338/x
  3. Step 3: Cross multiply
    29,620x = 44,338 × 44,338
  4. Step 4: Simplify right side
    29,620x = 1,965,858,244
  5. Step 5: Solve for x
    x = 1,965,858,244/29,620
  6. Step 6: Final answer
    x = 66,369.29

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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.