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Finding the Third Proportional to 13,734 and 18,653

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Solution

The third proportional to 13,734 and 18,653 is: 25,333.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,734 : 18,653 = 18,653 : x
  2. Step 2: Convert to fraction form
    13,734/18,653 = 18,653/x
  3. Step 3: Cross multiply
    13,734x = 18,653 × 18,653
  4. Step 4: Simplify right side
    13,734x = 347,934,409
  5. Step 5: Solve for x
    x = 347,934,409/13,734
  6. Step 6: Final answer
    x = 25,333.80

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.