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Finding the Third Proportional to 33,745 and 80,594

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Solution

The third proportional to 33,745 and 80,594 is: 192,484.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,745 : 80,594 = 80,594 : x
  2. Step 2: Convert to fraction form
    33,745/80,594 = 80,594/x
  3. Step 3: Cross multiply
    33,745x = 80,594 × 80,594
  4. Step 4: Simplify right side
    33,745x = 6,495,392,836
  5. Step 5: Solve for x
    x = 6,495,392,836/33,745
  6. Step 6: Final answer
    x = 192,484.60

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.