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Finding the Third Proportional to 33,270 and 49,791

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Solution

The third proportional to 33,270 and 49,791 is: 74,515.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,270 : 49,791 = 49,791 : x
  2. Step 2: Convert to fraction form
    33,270/49,791 = 49,791/x
  3. Step 3: Cross multiply
    33,270x = 49,791 × 49,791
  4. Step 4: Simplify right side
    33,270x = 2,479,143,681
  5. Step 5: Solve for x
    x = 2,479,143,681/33,270
  6. Step 6: Final answer
    x = 74,515.89

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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.