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Finding the Third Proportional to 20,832.75 and 29,769.75

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Solution

The third proportional to 20,832.75 and 29,769.75 is: 42,540.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,832.75 : 29,769.75 = 29,769.75 : x
  2. Step 2: Convert to fraction form
    20,832.75/29,769.75 = 29,769.75/x
  3. Step 3: Cross multiply
    20,832.75x = 29,769.75 × 29,769.75
  4. Step 4: Simplify right side
    20,832.75x = 886,238,015.06
  5. Step 5: Solve for x
    x = 886,238,015.06/20,832.75
  6. Step 6: Final answer
    x = 42,540.62

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.