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Finding the Third Proportional to 33,205 and 49,336

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Solution

The third proportional to 33,205 and 49,336 is: 73,303.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,205 : 49,336 = 49,336 : x
  2. Step 2: Convert to fraction form
    33,205/49,336 = 49,336/x
  3. Step 3: Cross multiply
    33,205x = 49,336 × 49,336
  4. Step 4: Simplify right side
    33,205x = 2,434,040,896
  5. Step 5: Solve for x
    x = 2,434,040,896/33,205
  6. Step 6: Final answer
    x = 73,303.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.