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Finding the Third Proportional to 33,245.44 and 71,160.19

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Solution

The third proportional to 33,245.44 and 71,160.19 is: 152,314.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,245.44 : 71,160.19 = 71,160.19 : x
  2. Step 2: Convert to fraction form
    33,245.44/71,160.19 = 71,160.19/x
  3. Step 3: Cross multiply
    33,245.44x = 71,160.19 × 71,160.19
  4. Step 4: Simplify right side
    33,245.44x = 5,063,772,285.04
  5. Step 5: Solve for x
    x = 5,063,772,285.04/33,245.44
  6. Step 6: Final answer
    x = 152,314.80

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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.