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Finding the Third Proportional to 36,305 and 54,458

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Solution

The third proportional to 36,305 and 54,458 is: 81,687.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,305 : 54,458 = 54,458 : x
  2. Step 2: Convert to fraction form
    36,305/54,458 = 54,458/x
  3. Step 3: Cross multiply
    36,305x = 54,458 × 54,458
  4. Step 4: Simplify right side
    36,305x = 2,965,673,764
  5. Step 5: Solve for x
    x = 2,965,673,764/36,305
  6. Step 6: Final answer
    x = 81,687.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.