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Finding the Third Proportional to 23,169.38 and 34,647.75

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Solution

The third proportional to 23,169.38 and 34,647.75 is: 51,812.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,169.38 : 34,647.75 = 34,647.75 : x
  2. Step 2: Convert to fraction form
    23,169.38/34,647.75 = 34,647.75/x
  3. Step 3: Cross multiply
    23,169.38x = 34,647.75 × 34,647.75
  4. Step 4: Simplify right side
    23,169.38x = 1,200,466,580.06
  5. Step 5: Solve for x
    x = 1,200,466,580.06/23,169.38
  6. Step 6: Final answer
    x = 51,812.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.