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Finding the Third Proportional to 38,244.09 and 82,844.44

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Solution

The third proportional to 38,244.09 and 82,844.44 is: 179,457.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,244.09 : 82,844.44 = 82,844.44 : x
  2. Step 2: Convert to fraction form
    38,244.09/82,844.44 = 82,844.44/x
  3. Step 3: Cross multiply
    38,244.09x = 82,844.44 × 82,844.44
  4. Step 4: Simplify right side
    38,244.09x = 6,863,200,824.69
  5. Step 5: Solve for x
    x = 6,863,200,824.69/38,244.09
  6. Step 6: Final answer
    x = 179,457.80

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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.