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Finding the Third Proportional to 17,857 and 36,533

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Solution

The third proportional to 17,857 and 36,533 is: 74,741.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,857 : 36,533 = 36,533 : x
  2. Step 2: Convert to fraction form
    17,857/36,533 = 36,533/x
  3. Step 3: Cross multiply
    17,857x = 36,533 × 36,533
  4. Step 4: Simplify right side
    17,857x = 1,334,660,089
  5. Step 5: Solve for x
    x = 1,334,660,089/17,857
  6. Step 6: Final answer
    x = 74,741.56

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.