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Finding the Third Proportional to 13,716 and 19,419

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Solution

The third proportional to 13,716 and 19,419 is: 27,493.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,716 : 19,419 = 19,419 : x
  2. Step 2: Convert to fraction form
    13,716/19,419 = 19,419/x
  3. Step 3: Cross multiply
    13,716x = 19,419 × 19,419
  4. Step 4: Simplify right side
    13,716x = 377,097,561
  5. Step 5: Solve for x
    x = 377,097,561/13,716
  6. Step 6: Final answer
    x = 27,493.26

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.