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Finding the Third Proportional to 36,238 and 54,248

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Solution

The third proportional to 36,238 and 54,248 is: 81,208.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,238 : 54,248 = 54,248 : x
  2. Step 2: Convert to fraction form
    36,238/54,248 = 54,248/x
  3. Step 3: Cross multiply
    36,238x = 54,248 × 54,248
  4. Step 4: Simplify right side
    36,238x = 2,942,845,504
  5. Step 5: Solve for x
    x = 2,942,845,504/36,238
  6. Step 6: Final answer
    x = 81,208.83

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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.