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Finding the Third Proportional to 33,633 and 44,613

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Solution

The third proportional to 33,633 and 44,613 is: 59,177.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,633 : 44,613 = 44,613 : x
  2. Step 2: Convert to fraction form
    33,633/44,613 = 44,613/x
  3. Step 3: Cross multiply
    33,633x = 44,613 × 44,613
  4. Step 4: Simplify right side
    33,633x = 1,990,319,769
  5. Step 5: Solve for x
    x = 1,990,319,769/33,633
  6. Step 6: Final answer
    x = 59,177.59

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.