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Finding the Third Proportional to 33,266 and 49,767.75

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Solution

The third proportional to 33,266 and 49,767.75 is: 74,455.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,266 : 49,767.75 = 49,767.75 : x
  2. Step 2: Convert to fraction form
    33,266/49,767.75 = 49,767.75/x
  3. Step 3: Cross multiply
    33,266x = 49,767.75 × 49,767.75
  4. Step 4: Simplify right side
    33,266x = 2,476,828,940.06
  5. Step 5: Solve for x
    x = 2,476,828,940.06/33,266
  6. Step 6: Final answer
    x = 74,455.27

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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.