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Finding the Third Proportional to 37,729.50 and 79,131

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Solution

The third proportional to 37,729.50 and 79,131 is: 165,963.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,729.50 : 79,131 = 79,131 : x
  2. Step 2: Convert to fraction form
    37,729.50/79,131 = 79,131/x
  3. Step 3: Cross multiply
    37,729.50x = 79,131 × 79,131
  4. Step 4: Simplify right side
    37,729.50x = 6,261,715,161
  5. Step 5: Solve for x
    x = 6,261,715,161/37,729.50
  6. Step 6: Final answer
    x = 165,963.38

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.