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Finding the Third Proportional to 33,394 and 51,350

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Solution

The third proportional to 33,394 and 51,350 is: 78,960.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,394 : 51,350 = 51,350 : x
  2. Step 2: Convert to fraction form
    33,394/51,350 = 51,350/x
  3. Step 3: Cross multiply
    33,394x = 51,350 × 51,350
  4. Step 4: Simplify right side
    33,394x = 2,636,822,500
  5. Step 5: Solve for x
    x = 2,636,822,500/33,394
  6. Step 6: Final answer
    x = 78,960.97

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.