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Finding the Third Proportional to 33,698 and 73,294

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Solution

The third proportional to 33,698 and 73,294 is: 159,416.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,698 : 73,294 = 73,294 : x
  2. Step 2: Convert to fraction form
    33,698/73,294 = 73,294/x
  3. Step 3: Cross multiply
    33,698x = 73,294 × 73,294
  4. Step 4: Simplify right side
    33,698x = 5,372,010,436
  5. Step 5: Solve for x
    x = 5,372,010,436/33,698
  6. Step 6: Final answer
    x = 159,416.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.