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Finding the Third Proportional to 33,550 and 43,029

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Solution

The third proportional to 33,550 and 43,029 is: 55,186.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,550 : 43,029 = 43,029 : x
  2. Step 2: Convert to fraction form
    33,550/43,029 = 43,029/x
  3. Step 3: Cross multiply
    33,550x = 43,029 × 43,029
  4. Step 4: Simplify right side
    33,550x = 1,851,494,841
  5. Step 5: Solve for x
    x = 1,851,494,841/33,550
  6. Step 6: Final answer
    x = 55,186.14

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.