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Finding the Third Proportional to 38,635.50 and 80,619

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Solution

The third proportional to 38,635.50 and 80,619 is: 168,224.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,635.50 : 80,619 = 80,619 : x
  2. Step 2: Convert to fraction form
    38,635.50/80,619 = 80,619/x
  3. Step 3: Cross multiply
    38,635.50x = 80,619 × 80,619
  4. Step 4: Simplify right side
    38,635.50x = 6,499,423,161
  5. Step 5: Solve for x
    x = 6,499,423,161/38,635.50
  6. Step 6: Final answer
    x = 168,224.12

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.