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Finding the Third Proportional to 38,337 and 58,741

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Solution

The third proportional to 38,337 and 58,741 is: 90,004.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,337 : 58,741 = 58,741 : x
  2. Step 2: Convert to fraction form
    38,337/58,741 = 58,741/x
  3. Step 3: Cross multiply
    38,337x = 58,741 × 58,741
  4. Step 4: Simplify right side
    38,337x = 3,450,505,081
  5. Step 5: Solve for x
    x = 3,450,505,081/38,337
  6. Step 6: Final answer
    x = 90,004.57

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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.