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Finding the Third Proportional to 23,797.13 and 33,270.75

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Solution

The third proportional to 23,797.13 and 33,270.75 is: 46,515.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,797.13 : 33,270.75 = 33,270.75 : x
  2. Step 2: Convert to fraction form
    23,797.13/33,270.75 = 33,270.75/x
  3. Step 3: Cross multiply
    23,797.13x = 33,270.75 × 33,270.75
  4. Step 4: Simplify right side
    23,797.13x = 1,106,942,805.56
  5. Step 5: Solve for x
    x = 1,106,942,805.56/23,797.13
  6. Step 6: Final answer
    x = 46,515.82

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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.