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Finding the Third Proportional to 33,241 and 78,215

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Solution

The third proportional to 33,241 and 78,215 is: 184,037.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,241 : 78,215 = 78,215 : x
  2. Step 2: Convert to fraction form
    33,241/78,215 = 78,215/x
  3. Step 3: Cross multiply
    33,241x = 78,215 × 78,215
  4. Step 4: Simplify right side
    33,241x = 6,117,586,225
  5. Step 5: Solve for x
    x = 6,117,586,225/33,241
  6. Step 6: Final answer
    x = 184,037.37

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.