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Finding the Third Proportional to 33,505 and 70,897

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Solution

The third proportional to 33,505 and 70,897 is: 150,018.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,505 : 70,897 = 70,897 : x
  2. Step 2: Convert to fraction form
    33,505/70,897 = 70,897/x
  3. Step 3: Cross multiply
    33,505x = 70,897 × 70,897
  4. Step 4: Simplify right side
    33,505x = 5,026,384,609
  5. Step 5: Solve for x
    x = 5,026,384,609/33,505
  6. Step 6: Final answer
    x = 150,018.94

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.