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Finding the Third Proportional to 36,410.50 and 54,950

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Solution

The third proportional to 36,410.50 and 54,950 is: 82,929.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,410.50 : 54,950 = 54,950 : x
  2. Step 2: Convert to fraction form
    36,410.50/54,950 = 54,950/x
  3. Step 3: Cross multiply
    36,410.50x = 54,950 × 54,950
  4. Step 4: Simplify right side
    36,410.50x = 3,019,502,500
  5. Step 5: Solve for x
    x = 3,019,502,500/36,410.50
  6. Step 6: Final answer
    x = 82,929.44

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.