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Finding the Third Proportional to 8,205 and 12,305

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Solution

The third proportional to 8,205 and 12,305 is: 18,453.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,205 : 12,305 = 12,305 : x
  2. Step 2: Convert to fraction form
    8,205/12,305 = 12,305/x
  3. Step 3: Cross multiply
    8,205x = 12,305 × 12,305
  4. Step 4: Simplify right side
    8,205x = 151,413,025
  5. Step 5: Solve for x
    x = 151,413,025/8,205
  6. Step 6: Final answer
    x = 18,453.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.