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Finding the Third Proportional to 11,170 and 19,676

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Solution

The third proportional to 11,170 and 19,676 is: 34,659.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,170 : 19,676 = 19,676 : x
  2. Step 2: Convert to fraction form
    11,170/19,676 = 19,676/x
  3. Step 3: Cross multiply
    11,170x = 19,676 × 19,676
  4. Step 4: Simplify right side
    11,170x = 387,144,976
  5. Step 5: Solve for x
    x = 387,144,976/11,170
  6. Step 6: Final answer
    x = 34,659.35

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.