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Finding the Third Proportional to 23,523.25 and 50,457.50

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Solution

The third proportional to 23,523.25 and 50,457.50 is: 108,231.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,523.25 : 50,457.50 = 50,457.50 : x
  2. Step 2: Convert to fraction form
    23,523.25/50,457.50 = 50,457.50/x
  3. Step 3: Cross multiply
    23,523.25x = 50,457.50 × 50,457.50
  4. Step 4: Simplify right side
    23,523.25x = 2,545,959,306.25
  5. Step 5: Solve for x
    x = 2,545,959,306.25/23,523.25
  6. Step 6: Final answer
    x = 108,231.61

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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.