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Finding the Third Proportional to 33,821 and 48,072.50

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Solution

The third proportional to 33,821 and 48,072.50 is: 68,329.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,821 : 48,072.50 = 48,072.50 : x
  2. Step 2: Convert to fraction form
    33,821/48,072.50 = 48,072.50/x
  3. Step 3: Cross multiply
    33,821x = 48,072.50 × 48,072.50
  4. Step 4: Simplify right side
    33,821x = 2,310,965,256.25
  5. Step 5: Solve for x
    x = 2,310,965,256.25/33,821
  6. Step 6: Final answer
    x = 68,329.30

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.