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Finding the Third Proportional to 23,699.25 and 34,674.75

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Solution

The third proportional to 23,699.25 and 34,674.75 is: 50,733.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,699.25 : 34,674.75 = 34,674.75 : x
  2. Step 2: Convert to fraction form
    23,699.25/34,674.75 = 34,674.75/x
  3. Step 3: Cross multiply
    23,699.25x = 34,674.75 × 34,674.75
  4. Step 4: Simplify right side
    23,699.25x = 1,202,338,287.56
  5. Step 5: Solve for x
    x = 1,202,338,287.56/23,699.25
  6. Step 6: Final answer
    x = 50,733.18

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.