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Finding the Third Proportional to 33,266.75 and 73,915.75

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Solution

The third proportional to 33,266.75 and 73,915.75 is: 164,234.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,266.75 : 73,915.75 = 73,915.75 : x
  2. Step 2: Convert to fraction form
    33,266.75/73,915.75 = 73,915.75/x
  3. Step 3: Cross multiply
    33,266.75x = 73,915.75 × 73,915.75
  4. Step 4: Simplify right side
    33,266.75x = 5,463,538,098.06
  5. Step 5: Solve for x
    x = 5,463,538,098.06/33,266.75
  6. Step 6: Final answer
    x = 164,234.20

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.