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Finding the Third Proportional to 7,629.75 and 15,725.25

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Solution

The third proportional to 7,629.75 and 15,725.25 is: 32,410.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,629.75 : 15,725.25 = 15,725.25 : x
  2. Step 2: Convert to fraction form
    7,629.75/15,725.25 = 15,725.25/x
  3. Step 3: Cross multiply
    7,629.75x = 15,725.25 × 15,725.25
  4. Step 4: Simplify right side
    7,629.75x = 247,283,487.56
  5. Step 5: Solve for x
    x = 247,283,487.56/7,629.75
  6. Step 6: Final answer
    x = 32,410.43

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.