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Finding the Third Proportional to 23,901 and 33,429.75

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Solution

The third proportional to 23,901 and 33,429.75 is: 46,757.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,901 : 33,429.75 = 33,429.75 : x
  2. Step 2: Convert to fraction form
    23,901/33,429.75 = 33,429.75/x
  3. Step 3: Cross multiply
    23,901x = 33,429.75 × 33,429.75
  4. Step 4: Simplify right side
    23,901x = 1,117,548,185.06
  5. Step 5: Solve for x
    x = 1,117,548,185.06/23,901
  6. Step 6: Final answer
    x = 46,757.38

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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.