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Finding the Third Proportional to 33,971 and 73,765

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Solution

The third proportional to 33,971 and 73,765 is: 160,174.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,971 : 73,765 = 73,765 : x
  2. Step 2: Convert to fraction form
    33,971/73,765 = 73,765/x
  3. Step 3: Cross multiply
    33,971x = 73,765 × 73,765
  4. Step 4: Simplify right side
    33,971x = 5,441,275,225
  5. Step 5: Solve for x
    x = 5,441,275,225/33,971
  6. Step 6: Final answer
    x = 160,174.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.