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Finding the Third Proportional to 35,976 and 73,379

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Solution

The third proportional to 35,976 and 73,379 is: 149,668.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,976 : 73,379 = 73,379 : x
  2. Step 2: Convert to fraction form
    35,976/73,379 = 73,379/x
  3. Step 3: Cross multiply
    35,976x = 73,379 × 73,379
  4. Step 4: Simplify right side
    35,976x = 5,384,477,641
  5. Step 5: Solve for x
    x = 5,384,477,641/35,976
  6. Step 6: Final answer
    x = 149,668.60

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.