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Finding the Third Proportional to 12,177 and 26,442

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Solution

The third proportional to 12,177 and 26,442 is: 57,418.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,177 : 26,442 = 26,442 : x
  2. Step 2: Convert to fraction form
    12,177/26,442 = 26,442/x
  3. Step 3: Cross multiply
    12,177x = 26,442 × 26,442
  4. Step 4: Simplify right side
    12,177x = 699,179,364
  5. Step 5: Solve for x
    x = 699,179,364/12,177
  6. Step 6: Final answer
    x = 57,418.03

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.