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Finding the Third Proportional to 33,300.38 and 71,338.88

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Solution

The third proportional to 33,300.38 and 71,338.88 is: 152,828.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,300.38 : 71,338.88 = 71,338.88 : x
  2. Step 2: Convert to fraction form
    33,300.38/71,338.88 = 71,338.88/x
  3. Step 3: Cross multiply
    33,300.38x = 71,338.88 × 71,338.88
  4. Step 4: Simplify right side
    33,300.38x = 5,089,235,086.27
  5. Step 5: Solve for x
    x = 5,089,235,086.27/33,300.38
  6. Step 6: Final answer
    x = 152,828.16

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.