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Finding the Third Proportional to 12,427 and 19,396

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Solution

The third proportional to 12,427 and 19,396 is: 30,273.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,427 : 19,396 = 19,396 : x
  2. Step 2: Convert to fraction form
    12,427/19,396 = 19,396/x
  3. Step 3: Cross multiply
    12,427x = 19,396 × 19,396
  4. Step 4: Simplify right side
    12,427x = 376,204,816
  5. Step 5: Solve for x
    x = 376,204,816/12,427
  6. Step 6: Final answer
    x = 30,273.18

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.