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Finding the Third Proportional to 7,627.92 and 15,745.64

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Solution

The third proportional to 7,627.92 and 15,745.64 is: 32,502.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,627.92 : 15,745.64 = 15,745.64 : x
  2. Step 2: Convert to fraction form
    7,627.92/15,745.64 = 15,745.64/x
  3. Step 3: Cross multiply
    7,627.92x = 15,745.64 × 15,745.64
  4. Step 4: Simplify right side
    7,627.92x = 247,925,198.69
  5. Step 5: Solve for x
    x = 247,925,198.69/7,627.92
  6. Step 6: Final answer
    x = 32,502.33

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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.