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Finding the Third Proportional to 12,170 and 27,112

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Solution

The third proportional to 12,170 and 27,112 is: 60,399.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,170 : 27,112 = 27,112 : x
  2. Step 2: Convert to fraction form
    12,170/27,112 = 27,112/x
  3. Step 3: Cross multiply
    12,170x = 27,112 × 27,112
  4. Step 4: Simplify right side
    12,170x = 735,060,544
  5. Step 5: Solve for x
    x = 735,060,544/12,170
  6. Step 6: Final answer
    x = 60,399.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.