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Finding the Third Proportional to 33,670 and 73,235

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Solution

The third proportional to 33,670 and 73,235 is: 159,292.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,670 : 73,235 = 73,235 : x
  2. Step 2: Convert to fraction form
    33,670/73,235 = 73,235/x
  3. Step 3: Cross multiply
    33,670x = 73,235 × 73,235
  4. Step 4: Simplify right side
    33,670x = 5,363,365,225
  5. Step 5: Solve for x
    x = 5,363,365,225/33,670
  6. Step 6: Final answer
    x = 159,292.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.