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Finding the Third Proportional to 33,505 and 66,164

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Solution

The third proportional to 33,505 and 66,164 is: 130,657.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,505 : 66,164 = 66,164 : x
  2. Step 2: Convert to fraction form
    33,505/66,164 = 66,164/x
  3. Step 3: Cross multiply
    33,505x = 66,164 × 66,164
  4. Step 4: Simplify right side
    33,505x = 4,377,674,896
  5. Step 5: Solve for x
    x = 4,377,674,896/33,505
  6. Step 6: Final answer
    x = 130,657.36

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.