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Finding the Third Proportional to 38,576 and 80,224

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Solution

The third proportional to 38,576 and 80,224 is: 166,836.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,576 : 80,224 = 80,224 : x
  2. Step 2: Convert to fraction form
    38,576/80,224 = 80,224/x
  3. Step 3: Cross multiply
    38,576x = 80,224 × 80,224
  4. Step 4: Simplify right side
    38,576x = 6,435,890,176
  5. Step 5: Solve for x
    x = 6,435,890,176/38,576
  6. Step 6: Final answer
    x = 166,836.64

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.