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Finding the Third Proportional to 36,991.50 and 80,903.25

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Solution

The third proportional to 36,991.50 and 80,903.25 is: 176,941.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,991.50 : 80,903.25 = 80,903.25 : x
  2. Step 2: Convert to fraction form
    36,991.50/80,903.25 = 80,903.25/x
  3. Step 3: Cross multiply
    36,991.50x = 80,903.25 × 80,903.25
  4. Step 4: Simplify right side
    36,991.50x = 6,545,335,860.56
  5. Step 5: Solve for x
    x = 6,545,335,860.56/36,991.50
  6. Step 6: Final answer
    x = 176,941.62

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.