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Finding the Third Proportional to 12,027 and 13,251

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Solution

The third proportional to 12,027 and 13,251 is: 14,599.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,027 : 13,251 = 13,251 : x
  2. Step 2: Convert to fraction form
    12,027/13,251 = 13,251/x
  3. Step 3: Cross multiply
    12,027x = 13,251 × 13,251
  4. Step 4: Simplify right side
    12,027x = 175,589,001
  5. Step 5: Solve for x
    x = 175,589,001/12,027
  6. Step 6: Final answer
    x = 14,599.57

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.