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Finding the Third Proportional to 35,296 and 75,996

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Solution

The third proportional to 35,296 and 75,996 is: 163,627.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,296 : 75,996 = 75,996 : x
  2. Step 2: Convert to fraction form
    35,296/75,996 = 75,996/x
  3. Step 3: Cross multiply
    35,296x = 75,996 × 75,996
  4. Step 4: Simplify right side
    35,296x = 5,775,392,016
  5. Step 5: Solve for x
    x = 5,775,392,016/35,296
  6. Step 6: Final answer
    x = 163,627.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.