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Finding the Third Proportional to 37,872.56 and 79,844.06

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Solution

The third proportional to 37,872.56 and 79,844.06 is: 168,329.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,872.56 : 79,844.06 = 79,844.06 : x
  2. Step 2: Convert to fraction form
    37,872.56/79,844.06 = 79,844.06/x
  3. Step 3: Cross multiply
    37,872.56x = 79,844.06 × 79,844.06
  4. Step 4: Simplify right side
    37,872.56x = 6,375,074,316.50
  5. Step 5: Solve for x
    x = 6,375,074,316.50/37,872.56
  6. Step 6: Final answer
    x = 168,329.63

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.