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Finding the Third Proportional to 37,363.50 and 79,283.25

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Solution

The third proportional to 37,363.50 and 79,283.25 is: 168,234.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,363.50 : 79,283.25 = 79,283.25 : x
  2. Step 2: Convert to fraction form
    37,363.50/79,283.25 = 79,283.25/x
  3. Step 3: Cross multiply
    37,363.50x = 79,283.25 × 79,283.25
  4. Step 4: Simplify right side
    37,363.50x = 6,285,833,730.56
  5. Step 5: Solve for x
    x = 6,285,833,730.56/37,363.50
  6. Step 6: Final answer
    x = 168,234.61

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.