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Finding the Third Proportional to 36,633 and 55,653

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Solution

The third proportional to 36,633 and 55,653 is: 84,548.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,633 : 55,653 = 55,653 : x
  2. Step 2: Convert to fraction form
    36,633/55,653 = 55,653/x
  3. Step 3: Cross multiply
    36,633x = 55,653 × 55,653
  4. Step 4: Simplify right side
    36,633x = 3,097,256,409
  5. Step 5: Solve for x
    x = 3,097,256,409/36,633
  6. Step 6: Final answer
    x = 84,548.26

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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.