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Finding the Third Proportional to 35,796 and 54,302

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Solution

The third proportional to 35,796 and 54,302 is: 82,375.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,796 : 54,302 = 54,302 : x
  2. Step 2: Convert to fraction form
    35,796/54,302 = 54,302/x
  3. Step 3: Cross multiply
    35,796x = 54,302 × 54,302
  4. Step 4: Simplify right side
    35,796x = 2,948,707,204
  5. Step 5: Solve for x
    x = 2,948,707,204/35,796
  6. Step 6: Final answer
    x = 82,375.33

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.