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Finding the Third Proportional to 43,024 and 93,824

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Solution

The third proportional to 43,024 and 93,824 is: 204,605.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,024 : 93,824 = 93,824 : x
  2. Step 2: Convert to fraction form
    43,024/93,824 = 93,824/x
  3. Step 3: Cross multiply
    43,024x = 93,824 × 93,824
  4. Step 4: Simplify right side
    43,024x = 8,802,942,976
  5. Step 5: Solve for x
    x = 8,802,942,976/43,024
  6. Step 6: Final answer
    x = 204,605.41

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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.