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Finding the Third Proportional to 7,629.75 and 11,664.75

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Solution

The third proportional to 7,629.75 and 11,664.75 is: 17,833.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,629.75 : 11,664.75 = 11,664.75 : x
  2. Step 2: Convert to fraction form
    7,629.75/11,664.75 = 11,664.75/x
  3. Step 3: Cross multiply
    7,629.75x = 11,664.75 × 11,664.75
  4. Step 4: Simplify right side
    7,629.75x = 136,066,392.56
  5. Step 5: Solve for x
    x = 136,066,392.56/7,629.75
  6. Step 6: Final answer
    x = 17,833.66

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.