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Finding the Third Proportional to 17,733 and 26,967.75

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Solution

The third proportional to 17,733 and 26,967.75 is: 41,011.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,733 : 26,967.75 = 26,967.75 : x
  2. Step 2: Convert to fraction form
    17,733/26,967.75 = 26,967.75/x
  3. Step 3: Cross multiply
    17,733x = 26,967.75 × 26,967.75
  4. Step 4: Simplify right side
    17,733x = 727,259,540.06
  5. Step 5: Solve for x
    x = 727,259,540.06/17,733
  6. Step 6: Final answer
    x = 41,011.65

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.