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Finding the Third Proportional to 15,400 and 33,203

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Solution

The third proportional to 15,400 and 33,203 is: 71,586.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,400 : 33,203 = 33,203 : x
  2. Step 2: Convert to fraction form
    15,400/33,203 = 33,203/x
  3. Step 3: Cross multiply
    15,400x = 33,203 × 33,203
  4. Step 4: Simplify right side
    15,400x = 1,102,439,209
  5. Step 5: Solve for x
    x = 1,102,439,209/15,400
  6. Step 6: Final answer
    x = 71,586.96

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.