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Finding the Third Proportional to 23,832.75 and 47,066.25

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Solution

The third proportional to 23,832.75 and 47,066.25 is: 92,949.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,832.75 : 47,066.25 = 47,066.25 : x
  2. Step 2: Convert to fraction form
    23,832.75/47,066.25 = 47,066.25/x
  3. Step 3: Cross multiply
    23,832.75x = 47,066.25 × 47,066.25
  4. Step 4: Simplify right side
    23,832.75x = 2,215,231,889.06
  5. Step 5: Solve for x
    x = 2,215,231,889.06/23,832.75
  6. Step 6: Final answer
    x = 92,949.07

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.