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Finding the Third Proportional to 12,646 and 27,164

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Solution

The third proportional to 12,646 and 27,164 is: 58,349.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,646 : 27,164 = 27,164 : x
  2. Step 2: Convert to fraction form
    12,646/27,164 = 27,164/x
  3. Step 3: Cross multiply
    12,646x = 27,164 × 27,164
  4. Step 4: Simplify right side
    12,646x = 737,882,896
  5. Step 5: Solve for x
    x = 737,882,896/12,646
  6. Step 6: Final answer
    x = 58,349.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.