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Finding the Third Proportional to 40,892 and 54,950

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Solution

The third proportional to 40,892 and 54,950 is: 73,840.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,892 : 54,950 = 54,950 : x
  2. Step 2: Convert to fraction form
    40,892/54,950 = 54,950/x
  3. Step 3: Cross multiply
    40,892x = 54,950 × 54,950
  4. Step 4: Simplify right side
    40,892x = 3,019,502,500
  5. Step 5: Solve for x
    x = 3,019,502,500/40,892
  6. Step 6: Final answer
    x = 73,840.91

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.