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Finding the Third Proportional to 33,220 and 57,318

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Solution

The third proportional to 33,220 and 57,318 is: 98,896.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,220 : 57,318 = 57,318 : x
  2. Step 2: Convert to fraction form
    33,220/57,318 = 57,318/x
  3. Step 3: Cross multiply
    33,220x = 57,318 × 57,318
  4. Step 4: Simplify right side
    33,220x = 3,285,353,124
  5. Step 5: Solve for x
    x = 3,285,353,124/33,220
  6. Step 6: Final answer
    x = 98,896.84

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Why These Related Problems?

These problems maintain the same ratio (1.73) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.