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Finding the Third Proportional to 33,898 and 74,041

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Solution

The third proportional to 33,898 and 74,041 is: 161,722.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,898 : 74,041 = 74,041 : x
  2. Step 2: Convert to fraction form
    33,898/74,041 = 74,041/x
  3. Step 3: Cross multiply
    33,898x = 74,041 × 74,041
  4. Step 4: Simplify right side
    33,898x = 5,482,069,681
  5. Step 5: Solve for x
    x = 5,482,069,681/33,898
  6. Step 6: Final answer
    x = 161,722.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.