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Finding the Third Proportional to 5,405.25 and 11,756.75

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Solution

The third proportional to 5,405.25 and 11,756.75 is: 25,571.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,405.25 : 11,756.75 = 11,756.75 : x
  2. Step 2: Convert to fraction form
    5,405.25/11,756.75 = 11,756.75/x
  3. Step 3: Cross multiply
    5,405.25x = 11,756.75 × 11,756.75
  4. Step 4: Simplify right side
    5,405.25x = 138,221,170.56
  5. Step 5: Solve for x
    x = 138,221,170.56/5,405.25
  6. Step 6: Final answer
    x = 25,571.65

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.