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Finding the Third Proportional to 33,037 and 70,343

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Solution

The third proportional to 33,037 and 70,343 is: 149,775.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,037 : 70,343 = 70,343 : x
  2. Step 2: Convert to fraction form
    33,037/70,343 = 70,343/x
  3. Step 3: Cross multiply
    33,037x = 70,343 × 70,343
  4. Step 4: Simplify right side
    33,037x = 4,948,137,649
  5. Step 5: Solve for x
    x = 4,948,137,649/33,037
  6. Step 6: Final answer
    x = 149,775.63

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.