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Finding the Third Proportional to 33,520 and 70,304

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Solution

The third proportional to 33,520 and 70,304 is: 147,453.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,520 : 70,304 = 70,304 : x
  2. Step 2: Convert to fraction form
    33,520/70,304 = 70,304/x
  3. Step 3: Cross multiply
    33,520x = 70,304 × 70,304
  4. Step 4: Simplify right side
    33,520x = 4,942,652,416
  5. Step 5: Solve for x
    x = 4,942,652,416/33,520
  6. Step 6: Final answer
    x = 147,453.83

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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.