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Finding the Third Proportional to 33,906 and 44,679

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Solution

The third proportional to 33,906 and 44,679 is: 58,874.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,906 : 44,679 = 44,679 : x
  2. Step 2: Convert to fraction form
    33,906/44,679 = 44,679/x
  3. Step 3: Cross multiply
    33,906x = 44,679 × 44,679
  4. Step 4: Simplify right side
    33,906x = 1,996,213,041
  5. Step 5: Solve for x
    x = 1,996,213,041/33,906
  6. Step 6: Final answer
    x = 58,874.92

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.