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Finding the Third Proportional to 13,758 and 16,170

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Solution

The third proportional to 13,758 and 16,170 is: 19,004.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,758 : 16,170 = 16,170 : x
  2. Step 2: Convert to fraction form
    13,758/16,170 = 16,170/x
  3. Step 3: Cross multiply
    13,758x = 16,170 × 16,170
  4. Step 4: Simplify right side
    13,758x = 261,468,900
  5. Step 5: Solve for x
    x = 261,468,900/13,758
  6. Step 6: Final answer
    x = 19,004.86

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.