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Finding the Third Proportional to 33,530 and 46,177

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Solution

The third proportional to 33,530 and 46,177 is: 63,594.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,530 : 46,177 = 46,177 : x
  2. Step 2: Convert to fraction form
    33,530/46,177 = 46,177/x
  3. Step 3: Cross multiply
    33,530x = 46,177 × 46,177
  4. Step 4: Simplify right side
    33,530x = 2,132,315,329
  5. Step 5: Solve for x
    x = 2,132,315,329/33,530
  6. Step 6: Final answer
    x = 63,594.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.