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Finding the Third Proportional to 23,469.75 and 34,489.13

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Solution

The third proportional to 23,469.75 and 34,489.13 is: 50,682.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,469.75 : 34,489.13 = 34,489.13 : x
  2. Step 2: Convert to fraction form
    23,469.75/34,489.13 = 34,489.13/x
  3. Step 3: Cross multiply
    23,469.75x = 34,489.13 × 34,489.13
  4. Step 4: Simplify right side
    23,469.75x = 1,189,499,743.27
  5. Step 5: Solve for x
    x = 1,189,499,743.27/23,469.75
  6. Step 6: Final answer
    x = 50,682.25

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.