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Finding the Third Proportional to 13,734 and 19,298

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Solution

The third proportional to 13,734 and 19,298 is: 27,116.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,734 : 19,298 = 19,298 : x
  2. Step 2: Convert to fraction form
    13,734/19,298 = 19,298/x
  3. Step 3: Cross multiply
    13,734x = 19,298 × 19,298
  4. Step 4: Simplify right side
    13,734x = 372,412,804
  5. Step 5: Solve for x
    x = 372,412,804/13,734
  6. Step 6: Final answer
    x = 27,116.12

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.