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Finding the Third Proportional to 36,928.50 and 80,623.50

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Solution

The third proportional to 36,928.50 and 80,623.50 is: 176,019.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,928.50 : 80,623.50 = 80,623.50 : x
  2. Step 2: Convert to fraction form
    36,928.50/80,623.50 = 80,623.50/x
  3. Step 3: Cross multiply
    36,928.50x = 80,623.50 × 80,623.50
  4. Step 4: Simplify right side
    36,928.50x = 6,500,148,752.25
  5. Step 5: Solve for x
    x = 6,500,148,752.25/36,928.50
  6. Step 6: Final answer
    x = 176,019.84

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.