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Finding the Third Proportional to 17,787 and 26,727.75

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Solution

The third proportional to 17,787 and 26,727.75 is: 40,162.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,787 : 26,727.75 = 26,727.75 : x
  2. Step 2: Convert to fraction form
    17,787/26,727.75 = 26,727.75/x
  3. Step 3: Cross multiply
    17,787x = 26,727.75 × 26,727.75
  4. Step 4: Simplify right side
    17,787x = 714,372,620.06
  5. Step 5: Solve for x
    x = 714,372,620.06/17,787
  6. Step 6: Final answer
    x = 40,162.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.