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Finding the Third Proportional to 36,493.50 and 79,215

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Solution

The third proportional to 36,493.50 and 79,215 is: 171,948.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,493.50 : 79,215 = 79,215 : x
  2. Step 2: Convert to fraction form
    36,493.50/79,215 = 79,215/x
  3. Step 3: Cross multiply
    36,493.50x = 79,215 × 79,215
  4. Step 4: Simplify right side
    36,493.50x = 6,275,016,225
  5. Step 5: Solve for x
    x = 6,275,016,225/36,493.50
  6. Step 6: Final answer
    x = 171,948.87

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.