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Finding the Third Proportional to 33,518.75 and 69,357.25

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Solution

The third proportional to 33,518.75 and 69,357.25 is: 143,514.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,518.75 : 69,357.25 = 69,357.25 : x
  2. Step 2: Convert to fraction form
    33,518.75/69,357.25 = 69,357.25/x
  3. Step 3: Cross multiply
    33,518.75x = 69,357.25 × 69,357.25
  4. Step 4: Simplify right side
    33,518.75x = 4,810,428,127.56
  5. Step 5: Solve for x
    x = 4,810,428,127.56/33,518.75
  6. Step 6: Final answer
    x = 143,514.54

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.