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Finding the Third Proportional to 29,227 and 44,301

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Solution

The third proportional to 29,227 and 44,301 is: 67,149.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,227 : 44,301 = 44,301 : x
  2. Step 2: Convert to fraction form
    29,227/44,301 = 44,301/x
  3. Step 3: Cross multiply
    29,227x = 44,301 × 44,301
  4. Step 4: Simplify right side
    29,227x = 1,962,578,601
  5. Step 5: Solve for x
    x = 1,962,578,601/29,227
  6. Step 6: Final answer
    x = 67,149.51

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.