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Finding the Third Proportional to 18,759 and 26,381.25

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Solution

The third proportional to 18,759 and 26,381.25 is: 37,100.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,759 : 26,381.25 = 26,381.25 : x
  2. Step 2: Convert to fraction form
    18,759/26,381.25 = 26,381.25/x
  3. Step 3: Cross multiply
    18,759x = 26,381.25 × 26,381.25
  4. Step 4: Simplify right side
    18,759x = 695,970,351.56
  5. Step 5: Solve for x
    x = 695,970,351.56/18,759
  6. Step 6: Final answer
    x = 37,100.61

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.