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Finding the Third Proportional to 33,576 and 49,608

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Solution

The third proportional to 33,576 and 49,608 is: 73,295.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,576 : 49,608 = 49,608 : x
  2. Step 2: Convert to fraction form
    33,576/49,608 = 49,608/x
  3. Step 3: Cross multiply
    33,576x = 49,608 × 49,608
  4. Step 4: Simplify right side
    33,576x = 2,460,953,664
  5. Step 5: Solve for x
    x = 2,460,953,664/33,576
  6. Step 6: Final answer
    x = 73,295.02

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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.