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Finding the Third Proportional to 33,378 and 46,665

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Solution

The third proportional to 33,378 and 46,665 is: 65,241.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,378 : 46,665 = 46,665 : x
  2. Step 2: Convert to fraction form
    33,378/46,665 = 46,665/x
  3. Step 3: Cross multiply
    33,378x = 46,665 × 46,665
  4. Step 4: Simplify right side
    33,378x = 2,177,622,225
  5. Step 5: Solve for x
    x = 2,177,622,225/33,378
  6. Step 6: Final answer
    x = 65,241.24

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.