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Finding the Third Proportional to 36,483 and 75,741

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Solution

The third proportional to 36,483 and 75,741 is: 157,243.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,483 : 75,741 = 75,741 : x
  2. Step 2: Convert to fraction form
    36,483/75,741 = 75,741/x
  3. Step 3: Cross multiply
    36,483x = 75,741 × 75,741
  4. Step 4: Simplify right side
    36,483x = 5,736,699,081
  5. Step 5: Solve for x
    x = 5,736,699,081/36,483
  6. Step 6: Final answer
    x = 157,243.07

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.