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Finding the Third Proportional to 33,252.75 and 46,659.75

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Solution

The third proportional to 33,252.75 and 46,659.75 is: 65,472.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,252.75 : 46,659.75 = 46,659.75 : x
  2. Step 2: Convert to fraction form
    33,252.75/46,659.75 = 46,659.75/x
  3. Step 3: Cross multiply
    33,252.75x = 46,659.75 × 46,659.75
  4. Step 4: Simplify right side
    33,252.75x = 2,177,132,270.06
  5. Step 5: Solve for x
    x = 2,177,132,270.06/33,252.75
  6. Step 6: Final answer
    x = 65,472.25

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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.