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Finding the Third Proportional to 35,796 and 80,875

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Solution

The third proportional to 35,796 and 80,875 is: 182,723.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,796 : 80,875 = 80,875 : x
  2. Step 2: Convert to fraction form
    35,796/80,875 = 80,875/x
  3. Step 3: Cross multiply
    35,796x = 80,875 × 80,875
  4. Step 4: Simplify right side
    35,796x = 6,540,765,625
  5. Step 5: Solve for x
    x = 6,540,765,625/35,796
  6. Step 6: Final answer
    x = 182,723.37

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.