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Finding the Third Proportional to 33,778 and 73,502

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Solution

The third proportional to 33,778 and 73,502 is: 159,942.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,778 : 73,502 = 73,502 : x
  2. Step 2: Convert to fraction form
    33,778/73,502 = 73,502/x
  3. Step 3: Cross multiply
    33,778x = 73,502 × 73,502
  4. Step 4: Simplify right side
    33,778x = 5,402,544,004
  5. Step 5: Solve for x
    x = 5,402,544,004/33,778
  6. Step 6: Final answer
    x = 159,942.68

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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.