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Finding the Third Proportional to 12,059.25 and 17,616.75

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Solution

The third proportional to 12,059.25 and 17,616.75 is: 25,735.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,059.25 : 17,616.75 = 17,616.75 : x
  2. Step 2: Convert to fraction form
    12,059.25/17,616.75 = 17,616.75/x
  3. Step 3: Cross multiply
    12,059.25x = 17,616.75 × 17,616.75
  4. Step 4: Simplify right side
    12,059.25x = 310,349,880.56
  5. Step 5: Solve for x
    x = 310,349,880.56/12,059.25
  6. Step 6: Final answer
    x = 25,735.42

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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.