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Finding the Third Proportional to 18,678 and 26,127

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Solution

The third proportional to 18,678 and 26,127 is: 36,546.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,678 : 26,127 = 26,127 : x
  2. Step 2: Convert to fraction form
    18,678/26,127 = 26,127/x
  3. Step 3: Cross multiply
    18,678x = 26,127 × 26,127
  4. Step 4: Simplify right side
    18,678x = 682,620,129
  5. Step 5: Solve for x
    x = 682,620,129/18,678
  6. Step 6: Final answer
    x = 36,546.75

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.