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Finding the Third Proportional to 27,852 and 35,296

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Solution

The third proportional to 27,852 and 35,296 is: 44,729.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,852 : 35,296 = 35,296 : x
  2. Step 2: Convert to fraction form
    27,852/35,296 = 35,296/x
  3. Step 3: Cross multiply
    27,852x = 35,296 × 35,296
  4. Step 4: Simplify right side
    27,852x = 1,245,807,616
  5. Step 5: Solve for x
    x = 1,245,807,616/27,852
  6. Step 6: Final answer
    x = 44,729.56

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.