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Finding the Third Proportional to 7,744.50 and 11,626.75

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Solution

The third proportional to 7,744.50 and 11,626.75 is: 17,455.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,744.50 : 11,626.75 = 11,626.75 : x
  2. Step 2: Convert to fraction form
    7,744.50/11,626.75 = 11,626.75/x
  3. Step 3: Cross multiply
    7,744.50x = 11,626.75 × 11,626.75
  4. Step 4: Simplify right side
    7,744.50x = 135,181,315.56
  5. Step 5: Solve for x
    x = 135,181,315.56/7,744.50
  6. Step 6: Final answer
    x = 17,455.14

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Why These Related Problems?

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