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Finding the Third Proportional to 33,619 and 44,178

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Solution

The third proportional to 33,619 and 44,178 is: 58,053.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,619 : 44,178 = 44,178 : x
  2. Step 2: Convert to fraction form
    33,619/44,178 = 44,178/x
  3. Step 3: Cross multiply
    33,619x = 44,178 × 44,178
  4. Step 4: Simplify right side
    33,619x = 1,951,695,684
  5. Step 5: Solve for x
    x = 1,951,695,684/33,619
  6. Step 6: Final answer
    x = 58,053.35

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.