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Finding the Third Proportional to 33,533 and 49,723

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Solution

The third proportional to 33,533 and 49,723 is: 73,729.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,533 : 49,723 = 49,723 : x
  2. Step 2: Convert to fraction form
    33,533/49,723 = 49,723/x
  3. Step 3: Cross multiply
    33,533x = 49,723 × 49,723
  4. Step 4: Simplify right side
    33,533x = 2,472,376,729
  5. Step 5: Solve for x
    x = 2,472,376,729/33,533
  6. Step 6: Final answer
    x = 73,729.66

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.