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Finding the Third Proportional to 8,302 and 12,873

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Solution

The third proportional to 8,302 and 12,873 is: 19,960.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,302 : 12,873 = 12,873 : x
  2. Step 2: Convert to fraction form
    8,302/12,873 = 12,873/x
  3. Step 3: Cross multiply
    8,302x = 12,873 × 12,873
  4. Step 4: Simplify right side
    8,302x = 165,714,129
  5. Step 5: Solve for x
    x = 165,714,129/8,302
  6. Step 6: Final answer
    x = 19,960.75

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.