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Finding the Third Proportional to 24,898 and 37,741

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Solution

The third proportional to 24,898 and 37,741 is: 57,208.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,898 : 37,741 = 37,741 : x
  2. Step 2: Convert to fraction form
    24,898/37,741 = 37,741/x
  3. Step 3: Cross multiply
    24,898x = 37,741 × 37,741
  4. Step 4: Simplify right side
    24,898x = 1,424,383,081
  5. Step 5: Solve for x
    x = 1,424,383,081/24,898
  6. Step 6: Final answer
    x = 57,208.73

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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.