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Finding the Third Proportional to 33,599 and 70,438

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Solution

The third proportional to 33,599 and 70,438 is: 147,668.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,599 : 70,438 = 70,438 : x
  2. Step 2: Convert to fraction form
    33,599/70,438 = 70,438/x
  3. Step 3: Cross multiply
    33,599x = 70,438 × 70,438
  4. Step 4: Simplify right side
    33,599x = 4,961,511,844
  5. Step 5: Solve for x
    x = 4,961,511,844/33,599
  6. Step 6: Final answer
    x = 147,668.44

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.