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Finding the Third Proportional to 33,045.75 and 50,343.75

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Solution

The third proportional to 33,045.75 and 50,343.75 is: 76,696.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,045.75 : 50,343.75 = 50,343.75 : x
  2. Step 2: Convert to fraction form
    33,045.75/50,343.75 = 50,343.75/x
  3. Step 3: Cross multiply
    33,045.75x = 50,343.75 × 50,343.75
  4. Step 4: Simplify right side
    33,045.75x = 2,534,493,164.06
  5. Step 5: Solve for x
    x = 2,534,493,164.06/33,045.75
  6. Step 6: Final answer
    x = 76,696.49

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.