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Finding the Third Proportional to 17,633 and 24,181

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Solution

The third proportional to 17,633 and 24,181 is: 33,160.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,633 : 24,181 = 24,181 : x
  2. Step 2: Convert to fraction form
    17,633/24,181 = 24,181/x
  3. Step 3: Cross multiply
    17,633x = 24,181 × 24,181
  4. Step 4: Simplify right side
    17,633x = 584,720,761
  5. Step 5: Solve for x
    x = 584,720,761/17,633
  6. Step 6: Final answer
    x = 33,160.59

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.