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Finding the Third Proportional to 13,694 and 19,903

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Solution

The third proportional to 13,694 and 19,903 is: 28,927.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,694 : 19,903 = 19,903 : x
  2. Step 2: Convert to fraction form
    13,694/19,903 = 19,903/x
  3. Step 3: Cross multiply
    13,694x = 19,903 × 19,903
  4. Step 4: Simplify right side
    13,694x = 396,129,409
  5. Step 5: Solve for x
    x = 396,129,409/13,694
  6. Step 6: Final answer
    x = 28,927.22

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.