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Finding the Third Proportional to 33,916 and 73,668

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Solution

The third proportional to 33,916 and 73,668 is: 160,012.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,916 : 73,668 = 73,668 : x
  2. Step 2: Convert to fraction form
    33,916/73,668 = 73,668/x
  3. Step 3: Cross multiply
    33,916x = 73,668 × 73,668
  4. Step 4: Simplify right side
    33,916x = 5,426,974,224
  5. Step 5: Solve for x
    x = 5,426,974,224/33,916
  6. Step 6: Final answer
    x = 160,012.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.