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Finding the Third Proportional to 11,464.70 and 17,144.34

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Solution

The third proportional to 11,464.70 and 17,144.34 is: 25,637.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,464.70 : 17,144.34 = 17,144.34 : x
  2. Step 2: Convert to fraction form
    11,464.70/17,144.34 = 17,144.34/x
  3. Step 3: Cross multiply
    11,464.70x = 17,144.34 × 17,144.34
  4. Step 4: Simplify right side
    11,464.70x = 293,928,522.62
  5. Step 5: Solve for x
    x = 293,928,522.62/11,464.70
  6. Step 6: Final answer
    x = 25,637.69

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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.