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Finding the Third Proportional to 41,049 and 62,817

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Solution

The third proportional to 41,049 and 62,817 is: 96,128.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,049 : 62,817 = 62,817 : x
  2. Step 2: Convert to fraction form
    41,049/62,817 = 62,817/x
  3. Step 3: Cross multiply
    41,049x = 62,817 × 62,817
  4. Step 4: Simplify right side
    41,049x = 3,945,975,489
  5. Step 5: Solve for x
    x = 3,945,975,489/41,049
  6. Step 6: Final answer
    x = 96,128.42

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.