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Finding the Third Proportional to 33,072 and 49,683

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Solution

The third proportional to 33,072 and 49,683 is: 74,637.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,072 : 49,683 = 49,683 : x
  2. Step 2: Convert to fraction form
    33,072/49,683 = 49,683/x
  3. Step 3: Cross multiply
    33,072x = 49,683 × 49,683
  4. Step 4: Simplify right side
    33,072x = 2,468,400,489
  5. Step 5: Solve for x
    x = 2,468,400,489/33,072
  6. Step 6: Final answer
    x = 74,637.17

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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.