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Finding the Third Proportional to 18,817 and 26,305

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Solution

The third proportional to 18,817 and 26,305 is: 36,772.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,817 : 26,305 = 26,305 : x
  2. Step 2: Convert to fraction form
    18,817/26,305 = 26,305/x
  3. Step 3: Cross multiply
    18,817x = 26,305 × 26,305
  4. Step 4: Simplify right side
    18,817x = 691,953,025
  5. Step 5: Solve for x
    x = 691,953,025/18,817
  6. Step 6: Final answer
    x = 36,772.76

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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.