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Finding the Third Proportional to 23,147.25 and 34,568.34

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Solution

The third proportional to 23,147.25 and 34,568.34 is: 51,624.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,147.25 : 34,568.34 = 34,568.34 : x
  2. Step 2: Convert to fraction form
    23,147.25/34,568.34 = 34,568.34/x
  3. Step 3: Cross multiply
    23,147.25x = 34,568.34 × 34,568.34
  4. Step 4: Simplify right side
    23,147.25x = 1,194,970,389.62
  5. Step 5: Solve for x
    x = 1,194,970,389.62/23,147.25
  6. Step 6: Final answer
    x = 51,624.72

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.