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Finding the Third Proportional to 23,241.94 and 50,348.25

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Solution

The third proportional to 23,241.94 and 50,348.25 is: 109,067.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,241.94 : 50,348.25 = 50,348.25 : x
  2. Step 2: Convert to fraction form
    23,241.94/50,348.25 = 50,348.25/x
  3. Step 3: Cross multiply
    23,241.94x = 50,348.25 × 50,348.25
  4. Step 4: Simplify right side
    23,241.94x = 2,534,946,278.06
  5. Step 5: Solve for x
    x = 2,534,946,278.06/23,241.94
  6. Step 6: Final answer
    x = 109,067.77

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.