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Finding the Third Proportional to 36,631 and 55,648

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Solution

The third proportional to 36,631 and 55,648 is: 84,537.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,631 : 55,648 = 55,648 : x
  2. Step 2: Convert to fraction form
    36,631/55,648 = 55,648/x
  3. Step 3: Cross multiply
    36,631x = 55,648 × 55,648
  4. Step 4: Simplify right side
    36,631x = 3,096,699,904
  5. Step 5: Solve for x
    x = 3,096,699,904/36,631
  6. Step 6: Final answer
    x = 84,537.68

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