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Finding the Third Proportional to 12,271 and 26,173

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Solution

The third proportional to 12,271 and 26,173 is: 55,824.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,271 : 26,173 = 26,173 : x
  2. Step 2: Convert to fraction form
    12,271/26,173 = 26,173/x
  3. Step 3: Cross multiply
    12,271x = 26,173 × 26,173
  4. Step 4: Simplify right side
    12,271x = 685,025,929
  5. Step 5: Solve for x
    x = 685,025,929/12,271
  6. Step 6: Final answer
    x = 55,824.78

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.