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Finding the Third Proportional to 7,629.75 and 17,646.75

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Solution

The third proportional to 7,629.75 and 17,646.75 is: 40,814.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,629.75 : 17,646.75 = 17,646.75 : x
  2. Step 2: Convert to fraction form
    7,629.75/17,646.75 = 17,646.75/x
  3. Step 3: Cross multiply
    7,629.75x = 17,646.75 × 17,646.75
  4. Step 4: Simplify right side
    7,629.75x = 311,407,785.56
  5. Step 5: Solve for x
    x = 311,407,785.56/7,629.75
  6. Step 6: Final answer
    x = 40,814.94

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.