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Finding the Third Proportional to 33,778 and 75,323

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Solution

The third proportional to 33,778 and 75,323 is: 167,965.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,778 : 75,323 = 75,323 : x
  2. Step 2: Convert to fraction form
    33,778/75,323 = 75,323/x
  3. Step 3: Cross multiply
    33,778x = 75,323 × 75,323
  4. Step 4: Simplify right side
    33,778x = 5,673,554,329
  5. Step 5: Solve for x
    x = 5,673,554,329/33,778
  6. Step 6: Final answer
    x = 167,965.96

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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.