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Finding the Third Proportional to 30,059 and 44,238

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Solution

The third proportional to 30,059 and 44,238 is: 65,105.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,059 : 44,238 = 44,238 : x
  2. Step 2: Convert to fraction form
    30,059/44,238 = 44,238/x
  3. Step 3: Cross multiply
    30,059x = 44,238 × 44,238
  4. Step 4: Simplify right side
    30,059x = 1,957,000,644
  5. Step 5: Solve for x
    x = 1,957,000,644/30,059
  6. Step 6: Final answer
    x = 65,105.31

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.