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Finding the Third Proportional to 36,222 and 51,288

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Solution

The third proportional to 36,222 and 51,288 is: 72,620.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,222 : 51,288 = 51,288 : x
  2. Step 2: Convert to fraction form
    36,222/51,288 = 51,288/x
  3. Step 3: Cross multiply
    36,222x = 51,288 × 51,288
  4. Step 4: Simplify right side
    36,222x = 2,630,458,944
  5. Step 5: Solve for x
    x = 2,630,458,944/36,222
  6. Step 6: Final answer
    x = 72,620.48

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.