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Finding the Third Proportional to 33,021 and 71,423.25

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Solution

The third proportional to 33,021 and 71,423.25 is: 154,485.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,021 : 71,423.25 = 71,423.25 : x
  2. Step 2: Convert to fraction form
    33,021/71,423.25 = 71,423.25/x
  3. Step 3: Cross multiply
    33,021x = 71,423.25 × 71,423.25
  4. Step 4: Simplify right side
    33,021x = 5,101,280,640.56
  5. Step 5: Solve for x
    x = 5,101,280,640.56/33,021
  6. Step 6: Final answer
    x = 154,485.95

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.