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Finding the Third Proportional to 33,915.38 and 73,668.38

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Solution

The third proportional to 33,915.38 and 73,668.38 is: 160,016.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,915.38 : 73,668.38 = 73,668.38 : x
  2. Step 2: Convert to fraction form
    33,915.38/73,668.38 = 73,668.38/x
  3. Step 3: Cross multiply
    33,915.38x = 73,668.38 × 73,668.38
  4. Step 4: Simplify right side
    33,915.38x = 5,427,029,475.14
  5. Step 5: Solve for x
    x = 5,427,029,475.14/33,915.38
  6. Step 6: Final answer
    x = 160,016.79

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.