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Finding the Third Proportional to 33,955.50 and 75,687

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Solution

The third proportional to 33,955.50 and 75,687 is: 168,706.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,955.50 : 75,687 = 75,687 : x
  2. Step 2: Convert to fraction form
    33,955.50/75,687 = 75,687/x
  3. Step 3: Cross multiply
    33,955.50x = 75,687 × 75,687
  4. Step 4: Simplify right side
    33,955.50x = 5,728,521,969
  5. Step 5: Solve for x
    x = 5,728,521,969/33,955.50
  6. Step 6: Final answer
    x = 168,706.75

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.