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Finding the Third Proportional to 36,619.50 and 80,247

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Solution

The third proportional to 36,619.50 and 80,247 is: 175,851.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,619.50 : 80,247 = 80,247 : x
  2. Step 2: Convert to fraction form
    36,619.50/80,247 = 80,247/x
  3. Step 3: Cross multiply
    36,619.50x = 80,247 × 80,247
  4. Step 4: Simplify right side
    36,619.50x = 6,439,581,009
  5. Step 5: Solve for x
    x = 6,439,581,009/36,619.50
  6. Step 6: Final answer
    x = 175,851.15

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Why These Related Problems?

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