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Finding the Third Proportional to 12,474 and 19,251

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Solution

The third proportional to 12,474 and 19,251 is: 29,709.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,474 : 19,251 = 19,251 : x
  2. Step 2: Convert to fraction form
    12,474/19,251 = 19,251/x
  3. Step 3: Cross multiply
    12,474x = 19,251 × 19,251
  4. Step 4: Simplify right side
    12,474x = 370,601,001
  5. Step 5: Solve for x
    x = 370,601,001/12,474
  6. Step 6: Final answer
    x = 29,709.88

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.