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Finding the Third Proportional to 37,504.50 and 80,031.50

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Solution

The third proportional to 37,504.50 and 80,031.50 is: 170,780.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,504.50 : 80,031.50 = 80,031.50 : x
  2. Step 2: Convert to fraction form
    37,504.50/80,031.50 = 80,031.50/x
  3. Step 3: Cross multiply
    37,504.50x = 80,031.50 × 80,031.50
  4. Step 4: Simplify right side
    37,504.50x = 6,405,040,992.25
  5. Step 5: Solve for x
    x = 6,405,040,992.25/37,504.50
  6. Step 6: Final answer
    x = 170,780.60

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.