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Finding the Third Proportional to 33,247.75 and 51,101.75

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Solution

The third proportional to 33,247.75 and 51,101.75 is: 78,543.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,247.75 : 51,101.75 = 51,101.75 : x
  2. Step 2: Convert to fraction form
    33,247.75/51,101.75 = 51,101.75/x
  3. Step 3: Cross multiply
    33,247.75x = 51,101.75 × 51,101.75
  4. Step 4: Simplify right side
    33,247.75x = 2,611,388,853.06
  5. Step 5: Solve for x
    x = 2,611,388,853.06/33,247.75
  6. Step 6: Final answer
    x = 78,543.33

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.