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Finding the Third Proportional to 33,266.50 and 74,861.75

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Solution

The third proportional to 33,266.50 and 74,861.75 is: 168,466.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,266.50 : 74,861.75 = 74,861.75 : x
  2. Step 2: Convert to fraction form
    33,266.50/74,861.75 = 74,861.75/x
  3. Step 3: Cross multiply
    33,266.50x = 74,861.75 × 74,861.75
  4. Step 4: Simplify right side
    33,266.50x = 5,604,281,613.06
  5. Step 5: Solve for x
    x = 5,604,281,613.06/33,266.50
  6. Step 6: Final answer
    x = 168,466.22

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These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.