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Finding the Third Proportional to 27,825 and 35,256

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Solution

The third proportional to 27,825 and 35,256 is: 44,671.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,825 : 35,256 = 35,256 : x
  2. Step 2: Convert to fraction form
    27,825/35,256 = 35,256/x
  3. Step 3: Cross multiply
    27,825x = 35,256 × 35,256
  4. Step 4: Simplify right side
    27,825x = 1,242,985,536
  5. Step 5: Solve for x
    x = 1,242,985,536/27,825
  6. Step 6: Final answer
    x = 44,671.54

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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.