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Finding the Third Proportional to 33,955 and 50,996.50

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Solution

The third proportional to 33,955 and 50,996.50 is: 76,590.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,955 : 50,996.50 = 50,996.50 : x
  2. Step 2: Convert to fraction form
    33,955/50,996.50 = 50,996.50/x
  3. Step 3: Cross multiply
    33,955x = 50,996.50 × 50,996.50
  4. Step 4: Simplify right side
    33,955x = 2,600,643,012.25
  5. Step 5: Solve for x
    x = 2,600,643,012.25/33,955
  6. Step 6: Final answer
    x = 76,590.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.