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Finding the Third Proportional to 12,448 and 27,164

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Solution

The third proportional to 12,448 and 27,164 is: 59,277.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,448 : 27,164 = 27,164 : x
  2. Step 2: Convert to fraction form
    12,448/27,164 = 27,164/x
  3. Step 3: Cross multiply
    12,448x = 27,164 × 27,164
  4. Step 4: Simplify right side
    12,448x = 737,882,896
  5. Step 5: Solve for x
    x = 737,882,896/12,448
  6. Step 6: Final answer
    x = 59,277.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.