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Finding the Third Proportional to 12,147 and 13,251

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Solution

The third proportional to 12,147 and 13,251 is: 14,455.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,147 : 13,251 = 13,251 : x
  2. Step 2: Convert to fraction form
    12,147/13,251 = 13,251/x
  3. Step 3: Cross multiply
    12,147x = 13,251 × 13,251
  4. Step 4: Simplify right side
    12,147x = 175,589,001
  5. Step 5: Solve for x
    x = 175,589,001/12,147
  6. Step 6: Final answer
    x = 14,455.34

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.