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Finding the Third Proportional to 23,718.30 and 50,954.10

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Solution

The third proportional to 23,718.30 and 50,954.10 is: 109,464.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,718.30 : 50,954.10 = 50,954.10 : x
  2. Step 2: Convert to fraction form
    23,718.30/50,954.10 = 50,954.10/x
  3. Step 3: Cross multiply
    23,718.30x = 50,954.10 × 50,954.10
  4. Step 4: Simplify right side
    23,718.30x = 2,596,320,067.96
  5. Step 5: Solve for x
    x = 2,596,320,067.96/23,718.30
  6. Step 6: Final answer
    x = 109,464.82

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.